Abstract: In this paper, we apply the Adomian decomposition method (ADM) and Modified decomposition method (MDM) on two different types of nonlinear partial differential equations (PDEs), has been solved by using the homotopy perturbation method combined with new transform (NTHPM). But after solved by (MADM) we found (MADM) has less of computational work than (NTHPM), more effective, powerful and simple than (NTHPM).
Keywords: Systems of nonlinear partial differential equations, Adomian decomposition method, Modified decomposition method, homotopy perturbation method combined with new transform.
Title: Using Adomian decomposition methods for solving systems of nonlinear partial differential equations
Author: Abdallah Habila Ali, Abrar Yousif Elriyah
International Journal of Mathematics and Physical Sciences Research
ISSN 2348-5736 (Online)
Vol. 10, Issue 2, October 2022 - March 2023
Page No: 14-22
Research Publish Journals
Website: www.researchpublish.com
Published Date: 10-October-2022