On Numerical Solutions of Some Boundary Value Problems

Abstract

By using the semi-analytical iterative method introduced in [47], we solve some nonlinear higher order multi-point boundary value problems. We demonstrate clearly that the method is accurate, fast and has a reasonable order of convergence for these problems. We also apply the techniques of [8] to some linear and nonlinear integral equations. The main idea is to apply mean value theorem for integrals [8]. Some examples are presented to show the ability of the method. The results confirm that the method is very effective and simple.