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.