Article citationsMore>>

Aly, E.H., Abdelhahim, E. and Randolph, R. (2012) Advances in the Adomian Decomposition Method for Solving Two-Point Nonlinear Boundary Problems with Neumann Boundary Conditions, Computer and Mathematics with Application, 63, 1056-1065.
https://doi.org/10.1016/j.camwa.2011.12.010

has been cited by the following article:

• TITLE: Solving Different Types of Differential Equations Using Modified and New Modified Adomian Decomposition Methods

  AUTHORS: Justina Mulenga, Patrick Azere Phiri

  KEYWORDS: Neumann Conditions, Modified Adomian Decomposition Method, Solution Scheme, New Modified Adomian Decomposition Method, Differential Equations

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.11 No.6, June 29, 2023

  ABSTRACT: The Modified Adomian Decomposition Method (MADM) is presented. A number of problems are solved to show the efficiency of the method. Further, a new solution scheme for solving boundary value problems with Neumann conditions is proposed. The scheme is based on the modified Adomian decomposition method and the inverse linear operator theorem. Several differential equations with Neumann boundary conditions are solved to demonstrate the high accuracy and efficiency of the proposed scheme.