Adomian Decomposition Method for Solving Higher Order Boundary Value Problems

Abstract

In this paper, we present efficient numerical algorithms for the approximate solution of linear and non-linear higher order boundary value problems. Algorithms are, based on Adomian decomposition. Also, the Laplace Transformation with Adomian decomposition technique is proposed to solve the problems when Adomian series diverges. Three examples are given to illustrate the performance of each technique.

Keyword: Higher order Singular boundary value problems, Adomian decomposition techniques, Laplace transformations.