A continuous solution of solving a class of nonlineartwo point boundary value problem using Adomian decomposition method

Abstract

In this paper, a modified version of Adomian decomposition method is used to solve a class of nonlinear boundary value problems. It is easy to solve IVP using ADM but there exist some difficulties in solving BVP. But by using our modification of ADM, we solve the BVP by easily and directly method. As well we get a continuous solution of BVP. This technique gives a continuous solution and improves the work done by El-Kalla 2013. Some numerical examples are introduced to verify the efficiency of the new results. Keywords: Adomian decomposition, Boundary value problem, Nonlinear differential equations