Using Adomian decomposition methods for solving systems of nonlinear partial differential equations

Abdallah Habila Ali, Abrar Yousif Elriyah

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

DOI: https://doi.org/10.5281/zenodo.7182781

Vol. 10, Issue 2, October 2022 - March 2023

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Using Adomian decomposition methods for solving systems of nonlinear partial differential equations by Abdallah Habila Ali, Abrar Yousif Elriyah