Solving Fourth-order Boundary Value Problems by Modified Adomian Decomposition Method

Abstract

This paper presented new four modified differential operators for
solving fourth-order boundary value problems of ordinary differential equation. The modification form of the Adomian Decomposition
Method (ADM) was proposed and used to constitute the numerical
solution for such problems by applying it on one linear and two nonlinear problems. From the examples examined in this paper as well
as the obtained results, it can be concluded that the modified method
proposed in this paper is competent and reliable.