A New Technique for Simulation the Zakharov–Kuznetsov Equation

Mohammed Sabah Abdul-Wahab; A. S. J. Al-Saif

doi:10.24297/jam.v14i2.7559

Authors

Mohammed Sabah Abdul-Wahab University of Basrah, Basrah, Iraq
A. S. J. Al-Saif University of Basrah, Basrah, Iraq

DOI:

https://doi.org/10.24297/jam.v14i2.7559

Keywords:

Taylors' Series, Zakharov–Kuznetsov Equation, Simulation, Analytical Solution, Accuracy, Convergence

Abstract

In this article, a new technique is proposed to simulated two-dimensional Zakharov–Kuznetsov equation with the initial condition. The idea of this technique is based on Taylors' series in its derivation. Two test problems are presented to illustrate the performance of the new scheme. Analytical approximate solutions that we obtain are compared with variational iteration method (VIM) and homotopy analysis method (HAM). The results show that the new scheme is efficient and better than the other methods in accuracy and convergence.

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Author Biographies

Mohammed Sabah Abdul-Wahab, University of Basrah, Basrah, Iraq

Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basrah, Iraq

A. S. J. Al-Saif, University of Basrah, Basrah, Iraq

Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basrah, Iraq

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