bluuebunny/crossref_metadata_2025_split huggingface dataset:
The error function in fractional differential equations
Authors: Funes Jorge Olivares , Kari Elvis Valero , Martin Pablo , Maass Fernando 
Published: December 2019

Abstract
The objective of this paper is to solve the fractional differential equation

d
α

y

d

x
α

=
e
r

f

(
x
)

;

y

(
k
)

(
0
)

=
0
;

k
=
0
,
…
m
−
1
;

m
−
1
<
α
⩽
m
;

m
∈
ℕ

Generalized hypergeometric functions have been found as solutions of these kind of differential equations. To obtain these the Caputo definition of fraction of derivative has been used as well as Laplace Transform.
We will show the type of gereralized hypergeometric solutions that are obtained by means of the definition of the fractional derivative of Caputo and the Laplace transform.
Modelling meson clouds using coherent states
Authors: Fiolhais Manuel 
Published: December 2019

Abstract
A simple model for the quark-pion interaction is used to test the validity of a variational approach which is often used in realistic models for baryons. That simple model is solvable in the weak coupling regime as well as in the strong one. As we show, the approach consisting of a meson description by coherent states supplemented by an angular momentum and isospin projection onto states of good quantum numbers (such as the nucleon or delta resonance) is flexible enough at least to reproduce the accurate results in those two limits. However, in order for these results to be achieved, the so-called variation after projection method has to be applied. This study gives confidence for using similar techniques in realist models of quarks and mesons in interaction.
Integration of electromagnetic methods of intubation of stratified mediums on the basis of direct and alternating currents.
Authors: Dimitrienko Yu I , Krasnov I K , Zubarev K M 
Published: December 2019

Abstract
In this work the integration of two methods of electroinvestigation is considered. One method represents intubation by a direct current, the second intubation by alternating current. The integration is carried out for the purpose of increase in accuracy of results of the solution of the inverse task, the problem is solved in a twodimensional approximation. The direct task for the first and second method is solved numerically. The received values were compared with the experimental datas. The inverse task is formulated as a problem of minimization with the functional considering the experimental values received by both the first and second method of electroinvestigation. The problem of optimization is solved on a compact (for each parameter are set top and bottom border).
Theoretical Justification of Experimental Investigation of Gravity-Capillary Method for Gas-Liquid Mixtures Intake
Authors: Ivanov M Yu , Resh G F 
Published: December 2019

Abstract
The process of interaction of an adaptive spatial permeable capillary phase separator with a gas-liquid interface in a vessel in the gravitational field of the Earth was investigated. The existence of a natural comprehensive compression force acting on a capillary phase separator was theoretically justified and experimentally confirmed. This force is compensated by the structure rigidity in classical devices. It was shown that the volume of the capillary phase separator covered by a gas was decreased in a compliant structure under the action of this force in the liquid outflow process. Due to this, it is possible to maintain a total pressure differential for the capillary phase separator at low flow rates of the liquid below a capillary differential defined by the well-known Laplace’s formula. This effect allows reducing a remaining portion of a liquid in a vessel and expanding the practical application area of capillary phase separators including intake systems operating under conditions of elevated accelerations and temperatures.
Dynamics of various population groups in a two-dimensional spatial economy model.
Authors: Gerasimov S , Inovenkov I , Nefedov V 
Published: December 2019

Abstract
The system of parabolic partial differential equations, which describes the dynamics of various population groups in an urban environment, is considered. The model takes into account both the interaction between different groups in the process of their cohabitation and the diffusion processes of population migration. Various examples of world megacities are considered and some general principles of urban development are formulated.
Design of multiplierless minimum-phase FIR filters using palindromic polynomials and sharpening
Authors: Jovanovic Dolecek G , Salguero Luna SA 
Published: December 2019

Abstract
Minimum phase (MP) filters have all zeros inside the unit circle and have a minimum group delay and a minimum energy delay properties, especially useful in communication systems. The special class of MP filters has all zeros inside and on the unit circle. This paper presents a method for design of this class of MP FIR (Finite Impulse Response) digital filters without multipliers The method is based on palindromic polynomials and sharpening technique. The coefficients of palindromic polynomials are presented as a sum of powers of two, and consequently can be implemented by using only adders and shifts, resulting in a multiplierless design. Two classes of palindromic polynomials, having all zeros on the unit circle, are considered. Next, the sharpening technique was applied to improve the magnitude characteristic and to move zeros inside of unit circle. The choice of the design parameters is also presented. All zeros, of the designed MP filter, are inside or on the unit circle. Method is illustrated with one example.
On Convergence Speed of Parallel Variants of GPBiCG Method for Solving Linear Equations
Authors: Abe Kuniyoshi , Ikuno Soichiro 
Published: December 2019

Abstract
The hybrid Bi-Conjugate Gradient (Bi-CG) methods such as Bi-CG stabilized (Bi-CGSTAB), Generalized Product-type based Bi-CG (GPBiCG), and BiCGstab(ℓ) are well-known for efficiently solving linear equations. GPBiCG and BiCGstab(ℓ) are more effective and robust than Bi-CGSTAB on problems with strongly nonsymmetric matrices. On present petascale high-performance computing hardware, the scalability of Krylov subspace methods has recently become increasingly prominent. The main bottleneck for efficient parallelization is the inner products which require a global reduction. The parallel variants of Bi-CGSTAB reducing the number of global communication phases and hiding the communication latency have been proposed. However, it has been reported that the convergence of the parallel variants of Bi-CGSTAB is affected by rounding errors than that of the standard Bi-CGSTAB, and is not as robust as the standard. In this paper, therefore, following [1], we design parallel variants of GPBiCG, which converges faster and is more robust than Bi-CGSTAB. Then we compare the convergence speed between the standard GPBiCG and the parallel variants by numerical experiments.
Some elements of charge kinetics for particles and splinters in reference to the process of nuclear disintegration
Authors: Tertychny-Dauri V Yu 
Published: December 2019

Abstract
This work is devoted to solution of some problems connected with kinetic equations of reproduction for charged particles and charged splinters of the fission inside of nuclear toroidal electromagnetic generator (nuclegen). There are discussed questions of solutions behaviour for charged equations. Special attention is paid to charge kinetics of the nuclegen under the influence of small random disturbances and stimulated by this influence to analysis of stochastic motion properties for the ionite gas.
CFD results for dust concentration in ABL near vegetative barriers
Authors: Řezníček Hynek , Beneš Luděk 
Published: December 2019

Abstract
The numerical simulation of dust spreading inside the Atmospheric Boundary Layer are usually modelled by commercial CFD software. This contribution deals with the similar problem by using an in-house solver, based on finite volume method AUSM+up scheme. System of the RANS equations for viscous incompressible flow with variable potential temperature is used for description of the flows. The Richards-Hoxey [7] wall function is implemented to correctly caption the turbulence near the ground. The effects of vegetative barriers for the dust concentration near a surface coal mine were studied. Petroff’s [6] model of the dust deposition on vegetation is employed. The model includes four main processes which lead particles to depose on the leaves: Brownian diffusion, interception, impaction and gravitational settling.
Dispersionless limit of the (1+1)-dimensional Fokas-Lenells equation
Authors: Zhassybayeva Meruyert , Yesmakhanova Kuralay , Myrzakulov Ratbay 
Published: December 2019

Abstract
Nonlinear dispersionless equations can be obtained as dispersionless limits (quasiclassical limits) of integrable hierarchies of equations or by constructing a system of hydrodynamic type. In this paper, the dispersionless limit of the (1+1)-dimensional Fokas-Lenells equation is found. We present Lax pair for this dispersionless equation. As well known, the Fokas-Lenells equation characterizes the propagation of ultrashort nonlinear light pulses in optical fibers. Exact solutions of the dispersionless version of the Fokas-Lenells equation describe nonlinear shock waves in optical fiber systems. By using the obtained results, one can find shock wave solutions of the dispersionless equation, which have different physical applications.
The linear response function of a mixed dislocation in ferroelectrics
Authors: Dezhin V V , Nechaev V N 
Published: December 2019

Abstract
Bending vibrations of a mixed dislocation in a uniaxial ferroelectric are considered, the dislocation line is located along the ferroelectric axis. Based on the complete system of equations describing the vibrations of a ferroelectric crystal with a dislocation, system of equations for the mixed dislocation dynamics in a linear approximation in the dislocation displacement is written. An expression for the Peach–Koehler force acting on the dislocation is obtained, and the linear response function of the mixed dislocation is found.
The differential-q-difference 2D Toda equation: bilinear form and soliton solutions
Authors: Kutum B.B. , Yesmakhanova K.R. , Shaikhova G.N. 
Published: December 2019

Abstract
In this paper, the differential-q-difference 2D Toda lattice is studied. Hirota’s bilinear technique is applied to it. Soliton solutions are constructed through the resulting bilinear form for the differential-q-difference 2D Toda equation.
Unifying approach to score based statistical inference in physical sciences
Authors: Kus Vaclav , Richard Finger 
Published: December 2019

Abstract
In this contribution the statistical inference based on score functions is developed with the aim of future utilization throughout different fields of physics, for example in detector collision data processing or neutrino prongs matching. New score functions between theoretical and empirical probability measures are defined and the corresponding minimum score estimators are presented. We find that consistency of different estimators in various score functions leads to the well-known consistency in commonly used statistical distances or disparity measures between probability distributions. Conditions under which a specific score function pass to ˚–divergence are formulated. Conversely, each ˚–divergence is a score function. Furthermore, the minimization of arbitrary divergence score function leads to the classical histogram density estimator and thus can be used to alternative interpretation of histogram based calculations in (high energy) physics. The Kolmogorov-Smirnov testing statistics can be achieved through absolute score function under the class of mutually complement interval partitioning of the real line. It means that the most popular statistical methods, such as histogram estimation and Kolmogorov goodness of fit testing used in physics, can be covered by one unifying score based statistical approach. Also, these methods were previously successfully applied to data sets originated from the particular material elasticity testing (nondestructive defectoscopy) within Preisach-Mayergoyz space modeling.
A Case Study of Closed Universe that Fits the Cosmological Data of Supernovae of Type Ia
Authors: Adda FayȈcal Ben 
Published: December 2019

Abstract
In this paper a case study of an homogeneous and isotropic expanding space-time that expands via expansion of its basic element raises a fundamental distinction between recession movement of matter and space expansion. We prove that observing matter recession at an accelerating rate is not an indication for the acceleration of the universe expansion. More precisely, we show that the observed acceleration in the recession movement of galaxies is naturally due to the space-time deceleration. The case study provides us with a possible space-time with independent movement that might produce the observed behavior of galaxies registered for the redshift z < 0.5 as well as for the redshift z < 0.5. This case study calls into question the recent interpretation of the accelerating recession movement of galaxies as indication for the universe acceleration.
Educational Robotics as a Teaching tool in higher education institutions: A bibliographical analysis
Authors: Sánchez H , Martínez L S , González J D 
Published: December 2019

Abstract
The incorporation of robotics as an educational tool in higher education institutions has represented in recent years an innovative mechanism towards improving the teaching of mathematics, physics, and development of control software. This work shows our research about the use of efficient robotics in educational processes in higher education institutions and their perspectives of new innovations towards teaching in engineering, health sciences, biology, chemistry, physics, etc. Bibliometric tools were used to analyze the evolution of educational robotics as an element that contributes to the improvement of teaching and involvement in teaching methods used by teachers.
Robots in nursing education: a bibliometric analysis
Authors: Romero A , La Hoz J De , González J D 
Published: December 2019

Abstract
Laboratory experimentation using robotics plays an essential role in nursing education. This research to answer the question, How do the use of robots by the nursing students influence the effectiveness, the usefulness, and user friendliness of, their satisfaction with, this kind of education technology for a clinical experience. Furthermore, this technology provide additional benefits such as supporting distance learning, improving lab accessibility to handicapped people, and increasing safety for dangerous experimentation. This paper analyzes the literature on robotics labs in nursing education from its beginnings to 2019, identifying the most influential publications, the most researched topics, and how the interest in those topics has evolved along the way. To do so, bibliographical data gathered from ISI Web of Science, Scopus and MedLine have been examined using two prominent bibliometric approaches: science mapping and performance analysis prominent bibliometric approaches: science mapping and performance analysis.
On Convergence of Difference Approximations to Problems of Optimal Control in the Coefficients of Elliptic Equations with Mixed Derivatives and Unbounded Non-Linearity
Authors: Manapova Aigul 
Published: December 2019

Abstract
This paper deals with optimization problems for elliptic PDEs with mixed derivatives and nonlinearities of unlimited growth in the coefficients (i.e. the conditions imposed on the equation coefficients are assumed to hold only in a neighborhood of the exact solution to the original problem). The controls are contained in the leading part of the state equation. Convergence and approximation analysis for the optimization problems is investigated. The convergence of the approximations with regard to the state, functional and control is established, the approximations are regularized.
Quantitative analysis of lexical complexity in contemporary Russian novels
Authors: Maslennikova Yu S , Abramov A V 
Published: December 2019

Abstract
This research presents a set of methods for measuring the lexical complexity against the culture at large. We applied a range of statistical measures upon a set of texts. For the analysis, we selected 50 famous Russian novels of the 20th century based on their historical and generic variety. The main approach consists of the comparison of the relative frequency of a work’s words against the Google Books dataset. This dataset represents a remarkable resource, with the Russian Google Books corpus in the period 1800 - 2012, containing approximately 4.7 billion 1-grams. Relative frequencies distribution for a novels words were compared with frequencies of Google Books corpus of different years using JensenShannon divergence, KullbackLeibler divergence and other information measures. Also, so-called a Flesch reading ease scale was calculated, such measure was used in similar research of modern English fiction. It was shown that the lexical complexity of individual texts should be measured against the culture at large. It was found that a writer who commonly seems to be difficult, verbose or notional, can in fact use language that is more ‘common’ (relative to the culture at large) than any other texts.
Far surface gravity waves fields under unstable generation regimes
Authors: Bulatov V V , Vladimirov Yu V 
Published: December 2019

Abstract
The problem of constructing uniform asymptotics of surface perturbations far fields from a localized harmonic source in the flow of a heavy homogeneous fluid of infinite depth is considered. It is shown that the wave pattern of excited long-range fields is, for certain generation parameters, a system of hybrid wave perturbations which simultaneously exhibit the properties of the following two types: annular-type (transverse) and wedge-type (longitudinal) waves. Specific features of the phase structure and wave fronts are studied. Uniform asymptotics of the solutions which describe the hybrid surface wave perturbations at a far distance from the harmonic source are constructed.
On linear stability of shear flows of an ideal stratified fluid: research methods and new results
Authors: Gavrilieva A A , Gubarev Yu G 
Published: December 2019

Abstract
The results, that obtained by the spectral method with use of integral relations for the problem of linear stability of steady-state shear plane-parallel flows of an inviscid stratified incompressible fluid in the gravity field with respect to plane perturbations in the Boussinesq approximation and without it, are specified, complemented and developed by the most powerful analytical method of the modern mathematical theory of hydrodynamic stability – the second (or direct) Lyapunov method. In both case, the new analytical method made it possible to prove that given steady-state flows of stratified fluid are absolutely unstable in theoretical sense with respect to small plane perturbations and to obtain the sufficient conditions for practical linear instability of considered flows. The illustrative analytical examples of given steady-state flows and small plane perturbations as normal waves imposed on them are constructed. Using the asymptotic method, it is proved that constructed perturbations grow in time irrespective of the fact whether the Miles-Howard and the Miles-type theorems are valid or not.
Solution of model boundary value problems on oscillations of mechanical systems with moving boundaries by the duhamel method
Authors: Litvinov Vladislav L. 
Published: December 2019

Abstract
The Kantorovich – Galerkin method in conjunction with the Duhamel method is considered as applied to solving problems describing the oscillations of visco–elastic objects with conditions on moving boundaries. The mathematical formulation of the problem includes an inhomogeneous partial differential equation with respect to the desired displacement function, inhomogeneous boundary and initial conditions. By introducing a new function into the problem, the boundary and initial conditions are reduced to homogeneous. The solution is made in dimensionless variables with an accuracy of the second order of smallness with respect to small parameters characterizing the velocity of the boundary and viscoelasticity. Using the Kantorovich – Galerkin method and the Duhamel method, an approximate solution of the problem of forced longitudinal oscillations of a viscoelastic rod of variable length is found.
About the algorithm for calculating the final probabilities
Authors: Mastikhin A.V , Mastikhina A. A 
Published: December 2019

Abstract
We consider a Markov process with continuous time and a countable number of states, known as the (general) Bartlett–Mac-Kendrick epidemic. Kolmogorov’s equation for the exponential (double) generating function of the final probabilities is a hyperbolic partial differential equation. Its solution requires the calculation of the final probabilities for trajectories specifying one of the boundary conditions. It is shown that the desired trajectory is described as the Dick paths, enumerated by Catalan numbers. For arbitrary trajectories of the final probabilities of the general epidemic process, a calculation algorithm based on the contex-free grammar is proposed. The enumerative problem is solved.
The algorithm for generation of structured grids in deformed volumes of revolution
Authors: Anuchina A I , Artyomova N A , Gordeychuck V A , Ushakova O V 
Published: December 2019

Abstract
For the volume of revolution deformed by another volume of revolution, a grid generation algorithm is suggested. The algorithm is designed for multimaterial hydrodynamic simulation and for solving other physical and engineering problems. The algorithm represents the non-stationary procedure generating three-dimensional structured grids in domains with moving boundaries. The algorithm is developed within the variational approach for constructing optimal curvilinear grids. The volume of revolution is obtained by the rotation about the axis through 180° of a plane generatrix curve consisting of straight line segments and arcs of circles. The non-stationary algorithm is the iterative process at each stage of which the deformation of a grid and then its optimization are carried out. The deformation of a grid is implemented within the geometrical approach, and the optimization of a grid within the variational approach. Iterations are continued until the necessary deformation is reached. The algorithm is realized in the computer code written in C++.
Mathematical modeling of free-surface flows using multiprocessor computing systems
Authors: Gushchin V A , Kondakov V G 
Published: December 2019

Abstract
In this article the results of series of works concerning free-surface flows in liquid medium. Two models were considered: free-surface flows of homogeneous liquid and flows in density stratified liquid. For first model two problems were solved: fluid fluctuations in the container and the occurrence of an undular bore upon collision of a one-way flow with a wall. For second model also was performed test: collapse of homogeneously mixed spot of fluid in the stratified medium. For every test examples satisfactory results were obtained, comparable analysis was carried out whether it corresponds to analytic results.