Numerical solution of the boundary value problems in calculus of variations using parametric cubic spline method

Abstract

In this paper , a numerical solution based on parametric cubic spline is used for finding the solution of boundary value problems arising in the calculus of variations . The present approach has less computational coast and gives better approximation . This approximation reduce the problems to an explicit system of algebraic equations . Some numerical examples are also given to illustrate the accuracy and applicability of the presented method.