The Use of Adomian Decomposition Method for Solving Nonlinear Wave-Like Equation With Variable Coefficients


Abstract views: 87 / PDF downloads: 81

Authors

  • Mohand M. Abdelrahim Department of Mathematics, Faculty of Science & technology, Omdurman Islamic University, Khartoum, Sudan
  • Abdelilah K. Hassan Department of Mathematics, Faculty of Education, Holy Quran and Islamic Sciences University, Sudan

Keywords:

Sawi transform, Sawi A domian decomposition, Wave-like equation

Abstract

The Adomian Decomposition Method (ADM) has been widely applied in solving partial differential equations which represent various phenomena in engineering and physics. In this paper, nonlinear wave-like equations with variable coefficients are solved using Sawi Adomian De-composition Method (SADM). Sawi decomposition method is a combined form of Sawi transform method and the Adomian decomposition method. The nonlinear term can easily be handled with the help of Adomian polynomials which is considered to be a significant advantage of this technique over the other methods. We shall show that SADM is able to solve this type of equations effectively and accurately.

Downloads

Published

15-09-2020

How to Cite

Mohand M. Abdelrahim, & Abdelilah K. Hassan. (2020). The Use of Adomian Decomposition Method for Solving Nonlinear Wave-Like Equation With Variable Coefficients. International Journal of Mathematics And Its Applications, 8(3), 177–186. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/141

Issue

Vol. 8 No. 3 (2020)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.