New Modified Adomian Decomposition Method for Solving Second-Order Boundary Value Problems with Neumann Conditions

Justina Mulenga, Patrick Azere Phiri

Abstract: In this paper, a modification of the Adomian Decomposition Method called New Modified Adomian Decomposition Method is proposed. The proposed method is based on the Modified Adomian Decomposition Method and the inverse linear operator theorem. Some examples are presented to show the ability of the method for linear and nonlinear second- order boundary value problems with Neumann conditions.

Keywords: Neumann boundary conditions, New Modified Adomian Decomposition Method, Boundary Value Problems