Solving system of partial differential equations using variational iteration method with He's polynomials

Volume 19, Issue 3, pp 203--211 http://dx.doi.org/10.22436/jmcs.019.03.07

Publication Date: June 14, 2019 Submission Date: April 26, 2019 Revision Date: May 03, 2019 Accteptance Date: May 07, 2019

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Authors

Muhammad Nadeem - School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China. Shao-Wen Yao - School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China.

Abstract

In the present work, variational iteration method with He's polynomials (VIMHP) is widely proposed to elucidate the linear and nonlinear system of partial differential equations. In the proposed method, variational iteration method is coupled with homotopy perturbation methods using He's polynomials to handle the nonlinear terms. We emphasize the efficiency of this approach by solving two appropriate examples. The significant results for solving the linear and nonlinear coupled system of equations demonstrate the superiority and competence of this approach. The proposed method finds the solution without any restrictive assumptions, discretization, and linearization.

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Keywords

• Coupled pseudo-parabolic equation
• coupled Burgers equation
• Lagrange multiplier
• He's polynomials

MSC

•  35K70
•  35A20
•  35F50

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