An Efficient Method for Solving Linear and Nonlinear System of Partial Differential Equations

Mohand M. Abdelrahim Mahgoub; Abdelilah K. Hassan Sedeeg

doi:10.9734/BJMCS/2017/30259

Research Article Open access CC BY 4.0

An Efficient Method for Solving Linear and Nonlinear System of Partial Differential Equations

Mohand M. Abdelrahim Mahgoub, Abdelilah K. Hassan Sedeeg

Journal of Advances in Mathematics and Computer Science · pp. 1–10 · Published 13 Dec 2016

10.9734/BJMCS/2017/30259

Abstract

In this paper, Aboodh transform which is based on the Adomian decomposition method (AADM) is introduced for the approximate solution of the linear and nonlinear systems of partial differential equations. This method is very powerful and efficient techniques for solving different kinds of linear and nonlinear System of PDEs. The result reveals that the proposed method is very efficient, simple and can be applied to linear and nonlinear problems.

Aboodh−Adomian decomposition method systems of PDEs Adomian polynomials

Cited by 1

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Mohand M. Abdelrahim Mahgoub, Abdelilah K. Hassan Sedeeg (2016). An Efficient Method for Solving Linear and Nonlinear System of Partial Differential Equations. Journal of Advances in Mathematics and Computer Science , 1–10. https://doi.org/10.9734/BJMCS/2017/30259

Affiliations

Mohand M. Abdelrahim Mahgoub — Department of Mathematics, Faculty of Science and Technology, Omdurman Islamic University, Khartoum, Sudan and Department of Mathematics, Faculty of Sciences and Arts-Almikwah, Albaha University, Saudi Arabia.
Abdelilah K. Hassan Sedeeg — Department of Mathematics, Faculty of Sciences and Arts-Almikwah, Albaha University, Saudi Arabia and Department of Mathematics, Faculty of Education, Holy Quran and Islamic Sciences University, Khartoum, Sudan.

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