Numerical Solutions of Fourth Order Lidstone Boundary Value Problems Using Discrete Quintic Splines
In this paper, the numerical treatment of a fourth order Lidstone boundary value problem is proposed with the use of a discrete quintic spline based on central differences. It is shown that the method is of order 4 if a parameter takes a specific value, else it is of order 2. A well known numerical example is presented to illustrate our method as well as to compare the performance with other numerical methods proposed in the literature.
numerical solution fourth order lidstone boundary value problem discrete quintic spline central difference