An Efficient Method for Solving Linear and Nonlinear System of Partial Differential Equations
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.
*Author to whom correspondence should be addressed.
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.
Keywords: Aboodh−Adomian decomposition method, systems of PDEs, Adomian polynomials