some properties of the level convergence topology on fuzzy number space en abstract in this paper we study topological structure of level convergence on fuzzy number space en and give a characterization of compact subsets in en l where l is the level convergence topology on en

solution of boundary value problems for integro differential equations by using differential transform method in this study we extended the differential transform method dtm to solve the integro differential equations new theorems for the transformation of integrals are introduced and prooved the commonly encountered linear and nonlinear integro differential equations that appear in literature are solved as an illustration for the efficiency of the method some numerical results are also given to demonstrate the superiority of the method to other common techniques the results we obtained by using this technique is much more accurate compared to the existing ones

a new method based on haar wavelet for the numerical solution of two dimensional nonlinear integral equations a new numerical method based on haar wavelet is proposed for two dimensional nonlinear fredholm volterra and volterra fredholm integral equations of first and second kind the proposed method is an extension of the haar wavelet method aziz and siraj ul islam 2013 siraj ul islam et al 2013 and siraj ul islam et al 2014 from one dimensional nonlinear integral equations fredholm and volterra to two dimensional nonlinear integral equations fredholm volterra and volterra fredholm the main characteristic of the method is that unlike several other methods it does not involve numerical integration which results in an improved accuracy of the method in order to show the effectiveness of the method it is applied to several benchmark problems the numerical results are compared with other methods existing in the recent literature

the classification of affine su 3 modular invariant partition functions a complete classification of thephysical modular invariant partition functions for the wznw models is known for very few affine algebras and levels the most significant being all levels ofsu 2 and level 1 of all simple algebras in this paper we solve the classification problem forsu 3 modular invariant partition functions all levels our approach will also be applicable to other affine lie algebras and we include some preliminary work in that direction including a sketch of a new proof forsu 2

second kind integral equations for the classical potential theory on open surfaces ii a second kind integral equation formulation is presented for the dirichlet problem for the laplace equation in two dimensions with the boundary conditions specified on a collection of open curves the performance of the obtained apparatus is illustrated with several numerical examples the formulation is a simplification of the equation previously constructed by the authors

characterization of compact subsets of fuzzy sets a characterization of compact subsets is presented for the metric space of normal fuzzy convex fuzzy sets on the base space rn the metric for which is the supremum over the hausdorff distances between corresponding level sets it is shown that a closed subset is compact if and only if it is uniformly support bounded and the corresponding set of support functions is equileftcontinuous in the membership grade variable

the supersymmetry index and the construction of modular invariants relationships between the modular properties of affineg characters and the modular properties of the affine characters of regular subgroups ofg are derived by considering the branching functions that appear in calculation of the index of the dirac ramond operator on super coset models various applications of these relationships are described and in particular a simple algorithm is given for generating modular invariant combinations of characters of affineg at any level by using the shift vector method on suitably chosen lorentzian self dual lattices

the coiflet galerkin method for linear volterra integral equations this paper deals with the application of the wavelet galerkin method based on coiflets as a basis for solving linear volterra integral equations vies the main contribution of this work is that some new connection coefficients are introduced and a suitable algorithm is developed for their solution once they have been computed they can be stored and applied to any linear vie the convergence properties of the coiflet galerkin method are analyzed some test examples are presented to illustrate the performance of the method with respect to the error norms and cpu time

evolutionary computational intelligence in solving a class of nonlinear volterra fredholm integro differential equations in this paper a stochastic computational intelligence technique for solving a class of nonlinear volterra fredholm integro differential equations with mixed conditions is presented the strength of feed forward artificial neural networks is used to accurately model the integro equation comparisons with the exact solution and other numerical techniques are presented to show the efficiency of the proposed method theoretical and numerical results are presented analysis for the presented method is given

a novel semi analytical approach for solving nonlinear volterra integro differential equations in this work we present an efficient semi analytical method based on the taylor series for solving nonlinear volterra integro differential equations namely the differential transform method dtm the dtm provides a recursive relation for the coefficients of the taylor series that is derived from the given equations we provide a new recursive relation for the nonlinear volterra integro differential equations with complex nonlinear kernels since the dtm is based on the taylor series it is difficult to obtain accurate approximate solutions in a large domain to overcome this difficulty the standard dtm is applied in each subdomain called the multistage differential transform method msdtm we also present an convergence analysis for the proposed method to demonstrate the efficiency of the proposed method several numerical examples are performed and support the results in our analysis

numerical solution of integro differential equations by using cas wavelet operational matrix of integration the cas wavelet operational matrix p of integration is first presented and a general procedure to generate this matrix p is given cas wavelet approximating method is then utilized to reduce the integro differential equation to the algebraic equations illustrative examples are included to demonstrate the validity and applicability of the technique

rationalized haar functions method for solving fredholm and volterra integral equations this paper presents a computational technique for fredholm integral equation of the second kind and volterra integral equation of the second kind the method is based upon haar functions approximation properties of rationalized haar functions are first presented the operational matrix of integration together with product operational matrix and newton cotes nodes are utilized to reduce the computation of integral equations into some algebraic equations the method is computationally attractive and applications are demonstrated through illustrative examples

a spectral tau algorithm based on jacobi operational matrix for numerical solution of time fractional diffusion wave equations in this paper an efficient and accurate spectral numerical method is presented for solving second fourth order fractional diffusion wave equations and fractional wave equations with damping the proposed method is based on jacobi tau spectral procedure together with the jacobi operational matrix for fractional integrals described in the riemann liouville sense the main characteristic behind this approach is to reduce such problems to those of solving systems of algebraic equations in the unknown expansion coefficients of the sought for spectral approximations the validity and effectiveness of the method are demonstrated by solving five numerical examples numerical examples are presented in the form of tables and graphs to make comparisons with the results obtained by other methods and with the exact solutions more easier an efficient numerical scheme for time fractional diffusion wave equations is proposed a time space jacobi tau approximation is developed for such equations several tau spectral methods can be achieved as special cases the validity and applicability of the proposed method are demonstrated accurate numerical results are obtained by selecting limited collocation nodes

numerical solution of nonlinear volterra fredholm hammerstein integral equations via tau collocation method with convergence analysis in this paper we consider the nonlinear volterra fredholm hammerstein integral equations the approximate solution for the nonlinear volterra fredholm hammerstein integral equations is obtained by using the tau collocation method to do this the nonlinear volterra fredholm hammerstein integral equations is transformed into a system of nonlinear algebraic equations in matrix form thus by solving this system unknown coefficients are obtained the spectral rate of convergence for the proposed method is established in the l 2 norm the numerical results obtained with minimum amount of computation are compared with the exact solutions to show the efficiency of the method the results show that the tau collocation method is of high accuracy more convenient and efficient for solving nonlinear volterra fredholm hammerstein integral equations

a new operational matrix for solving fractional order differential equations abstract fractional calculus has been used to model physical and engineering processes that are found to be best described by fractional differential equations for that reason we need a reliable and efficient technique for the solution of fractional differential equations this paper deals with the numerical solution of a class of fractional differential equations the fractional derivatives are described in the caputo sense our main aim is to generalize the legendre operational matrix to the fractional calculus in this approach a truncated legendre series together with the legendre operational matrix of fractional derivatives are used for numerical integration of fractional differential equations the main characteristic behind the approach using this technique is that it reduces such problems to those of solving a system of algebraic equations thus greatly simplifying the problem the method is applied to solve two types of fractional differential equations linear and nonlinear illustrative examples are included to demonstrate the validity and applicability of the presented technique

numerical solution of functional differential integral and integro differential equations this paper describes a numerical method based on lagrange interpolation and chebyshev interpolation to treat functional integral equations of volterra type and fredholm type also the method can be extended to functional differential and integro differential equations various numerical examples are treated

supremum metric and relatively compact sets of fuzzy sets abstract the supremum metric d between fuzzy subsets of a metric space is the supremum of the hausdorff distances of the corresponding level sets in this paper some new criteria of compactness with respect to the distance d are given they concern arbitrary fuzzy sets see theorem 7 fuzzy sets having no proper local maximum points see theorem 12 and finally fuzzy sets with convex sendograph see theorem 13 in order to compare results with a previous characterization of compactness of diamond kloeden the criteria will be expressed by equi left right continuity in the proofs a first author s purely topological criterion of d compactness and a variational convergence called convergence which was introduced by de giorgi and franzoni are fundamental

compact finite difference method for integro differential equations in this paper we give sixth order compact finite difference formula for second order integro differential equations ide with different boundary conditions and both of error estimates and numerical experiments confirm our compact finite difference method can get fifth order of accuracy we also adjust compact finite difference method for first order ide and a system of ide and give numerical experiments for them our algorithm even can solve nonlinear ide and unsplit kernel of ide the most advantages of compact finite difference method for ide are that it obtains high order of accuracy while the time complexity to solve the matrix equations after we use compact finite difference method on ide is o n and it can solve very general case of ide

metric spaces of fuzzy sets two classes of metrics are introduced for spaces of fuzzy sets their equivalence is discussed and basic properties established a characterisation of compact and locally compact subsets is given in terms of boundedness and p mean equileft continuity and the spaces shown to be locally compact complete and separable metric spaces

an algorithm for solving the high order nonlinear volterra fredholm integro differential equation with mechanization abstract in this paper by using the theories and methods of mathematics analysis and computer algebra a reliable algorithm for solving high order nonlinear volterra fredholm integro differential equations was established and a new maple procedure voltfredproc was established too the results of the examples indicated that the procedure voltfredproc of taylor polynomial method is simple and effective and could provide an accuracy approximate solution or exact solution of the high order nonlinear volterra fredholm integro differential equation this would be useful for solving integro differential equation integral equations and ordinary differential equation

a characterization of relatively compact sets of fuzzy sets abstract a purely topological characterization of relatively compact sets is given for the metric space k y d of upper semicontinuous compact supported normal fuzzy subsets of a metric space y the considered metric d is that of the distance between fuzzy subsets which is the supremum of the hausdorff distances of the corresponding level sets in the given proof the compactness of a variational convergence which was introduced by de giorgi and franzoni is fundamental

on the compactness of fuzzy numbers with sendograph metric in this paper by embedding the fuzzy number space with the sendograph metric into the product of two uniformly support bounded complete metric spaces we characterize compact sets of the fuzzy number space the main result is that with respect to the sendograph metric a closed set is compact if and only if it is uniformly support bounded and equi right continuous at 0

differential transform method for the system of two dimensional nonlinear volterra integro differential equations in this paper we develop the differential transform method dtm for solving a class of the system of two dimensional linear and nonlinear volterra integro differential equations of the second kind to this end we give some preliminary results of the differential transform and describe the method of this paper we also give some examples to demonstrate the accuracy of the presented method

numerical solution of linear integro differential equation by using sine cosine wavelets abstract we use the continuous sine cosine wavelets on the interval 0 1 to solve the linear integro differential equation to do so we construct the quadrature formulae for the calculation of inner products of any functions which are required in the approximation for the integro differential equation then we reduced the integro differential equation to the solution of linear algebraic equations

numerical solution of a class of mixed two dimensional nonlinear volterra fredholm integral equations using multiquadric radial basis functions an efficient numerical method is proposed for solving the mixed nonlinear volterra fredholm two dimensional integral equations ies using two dimensional radial basis functions rbfs this method is based on interpolation by radial basis functions including multiquadrics mqs using legendre gauss lobatto nodes and weights also a theorem is proved for convergence analysis some numerical examples are presented and results are compared with the analytical solution to demonstrate the validity and applicability of the proposed method

on the convergence of fuzzy sets three kind of convergences are defined on a space of fuzzy sets relationships between these convergences are studied some comments on the fixed point property are represented

a simple taylor series expansion method for a class of second kind integral equations a simple yet effective taylor series expansion method is presented for a class of fredholm integral equations of the second kind with smooth and weakly singular kernels the equations studied in this paper arise in a number of applications e g potential theory radiative equilibrium radiative heat transfer and electrostatics the approach leads to an approximate solution of the integral equation which can be expressed explicitly in a simple closed form the approximate solution is of sufficient accuracy as illustrated by the numerical examples arising from radiative heat transfer and electrostatics

existence of solutions of boundary value problems with integral boundary conditions for second order impulsive integro differential equations in banach spaces this paper investigates the existence of solutions for a class of second order boundary value problems with integral boundary conditions of nonlinear impulsive integro differential equations in banach spaces the arguments are based upon the fixed point theorem of strict set contraction operators meanwhile an example is worked out to demonstrate the main results

a semi analytical approach to solve integro differential equations in this work we present a semi analytical method for solving integro differential equations under multi point or mixed boundary conditions the proposed method solves linear and nonlinear fredholmvolterra integro differential equations a convergence analysis of the proposed method is directly examined numerical examples are worked out to demonstrate the main results moreover proper graphs are provided to confirm the efficiency and the accuracy of the proposed scheme we show that with a few number of obtained approximating terms we achieve a high accuracy level of the obtained results however increasing the number of approximating terms yields a significant decrease of the error of the approximation the proposed method is very useful reliable and flexible for solving different kinds of integro differential equations

a new operational approach for numerical solution of generalized functional integro differential equations in this paper a class of linear and nonlinear functional integro differential equations are considered that can be found in the various fields of sciences such as stress strain states of materials motion of rigid bodies and models of polymer crystallization the operational collocation method with shifted jacobi polynomial bases is applied to approximate the solution of these equations in addition some theoretical results are given to simplify and reduce the computational costs finally some numerical examples are presented to demonstrate the efficiency and accuracy of the proposed method

numerical simulation for the space fractional diffusion equations abstract this paper presents a novel semi analytical algorithm based on the chebyshev collocation method for the solution of space fractional diffusion equations the original fractional equation is transformed into a system of ordinary differential equations odes by the chebyshev collocation method a new semi analytical method is then used to approximate the solution of the resulting system to emphasize the reliability of the new scheme a convergence analysis is presented it is shown that highly accurate solutions can be achieved with relatively few approximating terms and absolute errors are rapidly decrease as the number of approximating terms is increased by presenting some numerical examples we show that the proposed method is a powerful and reliable algorithm for solving space fractional diffusion equations and can be extended to solve another space fractional partial differential equations comparison with other methods in the literature demonstrates that the proposed method is both efficient and accurate

bessel polynomial solutions of high order linear volterra integro differential equations abstract in this study a practical matrix method which is based on collocation points is presented to find approximate solutions of high order linear volterra integro differential equations vides under the mixed conditions in terms of bessel polynomials numerical examples are included to demonstrate the validity and applicability of the technique and comparisons are made with the existing results the results show the efficiency and accuracy of the present work all of the numerical computations have been performed on the computer using a program written in matlab v7 6 0 r2008a

the combined laplace transform adomian decomposition method for handling nonlinear volterra integro differential equations in this work a combined form of the laplace transform method with the adomian decomposition method is developed for analytic treatment of the nonlinear volterra integro differential equations the combined method is capable of handling both equations of the first and second kind illustrative examples will be examined to support the proposed analysis

a new iterative technique for solving nonlinear second order multi point boundary value problems abstract we present a semi analytical iterative method for solving nonlinear second order multi point boundary value problems to demonstrate the working of the method we consider a particular example of this class of problems in this example we demonstrate the accuracy and convergence of the method to the solution we demonstrate clearly that the method is accurate fast and has a reasonable order of convergence

comparison between the homotopy perturbation method and the sine cosine wavelet method for solving linear integro differential equations this paper compares the homotopy perturbation method with the sine cosine wavelet method for solving linear integro differential equations from the computational viewpoint the homotopy perturbation method is more efficient and easier than the sine cosine wavelet method

an integral equation describing an asexual population in a changing environment in this paper we establish the existence of a travelling wave solution to an intrinsically nonlinear differential integral equation arising from the mathematical modelling of an asexual reproduction process the techniques used are fixed point theorems and asymptotic analysis the proofs although abstract give a hint on how to obtain the solutions numerically

haar wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations haar wavelet operational matrix has been widely applied in system analysis system identification optimal control and numerical solution of integral and differential equations in the present paper we derive the haar wavelet operational matrix of the fractional order integration and use it to solve the fractional order differential equations including the bagley torvik ricatti and composite fractional oscillation equations the results obtained are in good agreement with the existing ones in open literatures and it is shown that the technique introduced here is robust and easy to apply

some notes on the characterization of compact sets in e n d p in this paper our purpose is to modify the characterization of compact sets in en dp 1 p shown in p diamond and p kloeden metric spaces of fuzzy sets fuzzy sets and systems 35 1990 241 249

a sixth order compact finite difference method for non classical vibration analysis of nanobeams including surface stress effects a non classical model for the free vibrations of nanobeams accounting for surface stress effects is developed in this study based on gurtin murdoch elasticity theory the influence of surface stress is incorporated into the euler bernoulli beam theory a compact finite difference method cfdm of sixth order is employed for discretizing the non classical governing differential equation to obtain the natural frequencies of nanobeams subject to different boundary conditions to check the validity of the present numerical solution based on an exact solution an explicit formula for the fundamental frequency of simply supported nanobeams is obtained good agreement between the results of exact and numerical solutions is achieved confirming the validity and accuracy of the present numerical scheme the comparison between the results generated by cfdm with those obtained by the conventional finite difference method fdm further reveals the advantages of the compact method over its classical counterpart the influences of beam thickness surface density surface residual stress surface elastic constants and boundary conditions on the natural frequencies of nanobeams are also investigated it is indicated that the effect of surface stress on the vibrational response of a nanobeam is dependent on its aspect ratio and thickness

numerical solution of the system of fredholm integro differential equations by the tau method the tau method produces approximate polynomial solution of differential integral and integro differential equations see e l ortiz the tau method siam j numer anal 6 3 1969 480 492 e l ortiz h samara an operational approach to the tau method for the numerical solution of non linear differential equations computing 27 1981 15 25 s m hosseini s shahmorad a matrix formulation of the tau for fredholm and volterra linear integro differential equations the korean j comput appl math 9 2 2002 497 507 s m hosseini s shahmorad numerical solution of a class of integro differential equations by the tau method with an error estimation appl math comput 136 2003 559 570 in this paper we extend the tau method for the numerical solution of integro differential equations systems ides we also give a brief description of the structure of the tau program by the maple software an efficient error estimation of the numerical solution of the method is also introduced some examples are given to clarify the efficiency and high accuracy of the method

hybrid function method for solving fredholm and volterra integral equations of the second kind numerical solutions of fredholm and volterra integral equations of the second kind via hybrid functions are proposed in this paper based upon some useful properties of hybrid functions integration of the cross product a special product matrix and a related coefficient matrix with optimal order are applied to solve these integral equations the main characteristic of this technique is to convert an integral equation into an algebraic hence the solution procedures are either reduced or simplified accordingly the advantages of hybrid functions are that the values of n and m are adjustable as well as being able to yield more accurate numerical solutions than the piecewise constant orthogonal function for the solutions of integral equations we propose that the available optimal values of n and m can minimize the relative errors of the numerical solutions the high accuracy and the wide applicability of the hybrid function approach will be demonstrated with numerical examples the hybrid function method is superior to other piecewise constant orthogonal functions w f blyth r l may p widyaningsih volterra integral equations solved in fredholm form using walsh functions anziam j 45 e 2004 c269 c282 m h reihani z abadi rationalized haar functions method for solving fredholm and volterra integral equations j comp appl math 200 2007 12 20 for these problems

convergence of fuzzy sets with respect to the supremum metric abstract we characterize the convergence of fuzzy sets in the supremum metric given by the supremum of the hausdorff distances of the cuts of the fuzzy sets we do it by dividing this metric into its lower and upper quasi pseudometric parts this characterization is given in the more general context with no assumption on the fuzzy sets furthermore motivated from the theory of convex analysis we also provide some results about the behavior of the convergence in the supremum metric with respect to maximizers

some notes on the characterization of compact sets of fuzzy sets with lp metric in 1990 diamond gave a characterization of compact sets in the space of fuzzy star shaped numbers with respect to the origin with l p metric for 1

quantum field theories in one and two dimensions axiomes pour les theories de champ quantiques theories quantiques du champ a une dimension theories quantiques du champ chirales a 2 dimensions

a new algorithm for integral of trigonometric functions with mechanization in this paper by using the theories of mathematical analysis the authors systematically studied the problem of integrating of trigonometric functions utilizing omnipotence expressions tan x2 t a new integral algorithm for the integral of trigonometric functions was established and a new maple program trigint for the calculation mechanizing for the integral of trigonometric functions was established trigint could evaluate not only the integral of trigonometric functions utilizing omnipotence expresssions correctly but also all the other kinds of functions the results indicated that the algorithm established in this paper had advantages of simple idea excellent property for operation and powerful competence this would be useful for some calculating problems of engineering mathematics

numerical solution of a class of two dimensional nonlinear volterra integral equations using legendre polynomials in this paper a method for finding an approximate solution of a class of two dimensional nonlinear volterra integral equations is discussed the properties of two dimensional shifted legendre functions are presented the operational matrices of integration and product together with the collocation points are utilized to reduce the solution of the integral equation to the solution of a system of nonlinear algebraic equations some results concerning the error analysis are obtained we also consider the application of the method to the solution of certain partial differential equations illustrative examples are included to demonstrate the validity and applicability of the technique

new algorithms for the numerical solution of nonlinear fredholm and volterra integral equations using haar wavelets two new algorithms based on haar wavelets are proposed the first algorithm is proposed for the numerical solution of nonlinear fredholm integral equations of the second kind and the second for the numerical solution of nonlinear volterra integral equations of the second kind these methods are designed to exploit the special characteristics of haar wavelets in both one and two dimensions formulae for calculating haar coefficients without solving the system of equations have been derived these formulae are then used in the proposed numerical methods in contrast to other numerical methods the advantage of our method is that it does not involve any intermediate numerical technique for evaluation of the integral present in integral equations the methods are validated on test problems and numerical results are compared with those from existing methods in the literature

supremum metric on the space of fuzzy sets and common fixed point theorems for fuzzy mappings this paper generalizes a classical result about the space of bounded closed sets with the hausdorff metric and establishes the completeness of cb x with respect to the completeness of the metric space x where cb x is the class of fuzzy sets with nonempty bounded closed a cut sets equipped with the supremum metric d which takes the supremum on the hausdorff distances between the corresponding a cut sets in addition some common fixed point theorems for fuzzy mappings are proved and two examples are given to illustrate the validity of the main results in fixed point theory

modular invariant partition functions and method of shift vector using the shift vector method a large class of self dual lattices of dimension l l is obtained which has a one to one correspondence with modular invariants of free bosonic theory compactified on a coroot lattice of a rank l lie group then a large number of modular invariants of affine lie algebras are derived explicitly two applications of this method are a direct derivation of the d series of su n and a new proof for the a d e classification of the su 2 k partition functions

numerical solution of linear fredholm integral equation by using hybrid taylor and block pulse functions in this paper we use a combination of taylor and block pulse functions on the interval 0 1 that is called hybrid functions to estimate the solution of a linear fredholm integral equation of the second kind we convert the integral equation to a system of linear equations and by using numerical examples we show our estimation have a good degree of accuracy

numerical solution of a class of integro differential equations by the tau method with an error estimation the tau method by construction produces approximate polynomial solutions of differential equations the purpose of this paper is to extend the tau method to the integro differential equations an efficient error estimation for the tau method is also introduced details of this method are presented and some numerical results along with estimated errors are given to clarify the method and its error estimator

a new algorithm for the solution of nonlinear two dimensional volterra integro differential equations of high order abstract in this manuscript a new numerical approach is developed for approximating the solution of the one dimensional and two dimensional volterra integro differential equations 2d vides of high order new operational matrices of integration based on shifted jacobi polynomials are presented and used in combination with the collocation method to convert the 2d vide into a system of algebraic equations in addition the convergence analysis of the suggested approach is investigated the efficiency of the algorithm is demonstrated by means of several examples and the results are compared with those given using other numerical schemes

embedding of level continuous fuzzy sets on banach spaces abstract in this paper we present an extension of the minkowski embedding theorem showing the existence of an isometric embedding between the class f c x of compact convex and level continuous fuzzy sets on a real separable banach space x and c 0 1 b x the banach space of real continuous functions defined on the cartesian product between 0 1 and the unit ball b x in the dual space x also by using this embedding we give some applications to the characterization of relatively compact subsets of f c x in particular an ascoli arzela type theorem is proved and applied to solving the cauchy problem x t f t x t x t0 x0 on f c x

demonstration de l integrabilite des equations differentielles ordinaires soit donne le systeme d equations differentielles ramene a la forme normale begin array 20 c frac d x 1 dt varphi 1 t x 1 x n quad quad quad quad quad quad frac d x n dt varphi n t x 1 x n end array 0444 ou les n sont des fonctions continues aux environs de t b x1 a1 x n a n dans cette note on prouve que l on peut determiner un intervalle b b et dans cet intervalle n fonctions x1 x n de t qui satisfont aux equations donnees et qui pour t b prennent les valeurs a1 a n

an efficient technique to find semi analytical solutions for higher order multi point boundary value problems abstract a new semi analytical algorithm is presented to solve general multi point boundary value problems this method can be applied on nth order linear nonlinear singular and nonsingular multi point boundary value problems mathematical base of the method is presented convergence of the method is proved also the algorithm is applied to solve multi point boundary value problems including nonlinear sixth order nonlinear singular second order five point boundary value problems and a singularly perturbed boundary value problem comparison results show that the new method works more accurate than the other methods