Non-Polynomial Spline Method for Solving Nonlinear Two Point Boundary Value Problems

Abstract

A non-polynomial spline method is formulated for solving nonlinear two-point boundary value problems. The theoretical convergence of the method is investigated and well established. To demonstrate the applicability of the method, some model problems are considered and solved for different values of the mesh size h. Moreover, the accuracy of the method also shown by the means of numerical experimentation and it is observed that the proposed method is more accurate than some methods reported in the literature