Homotopy Perturbation Transform Algorithm for Solving (2+1) Dimensional Type of the Zakharov–Kuznetsov Equations

Authors

  • O.W. Lawal Department of Mathematics, Tai Solarin University of Education Ijagun, Ogun State, Nigeria.
  • O.Z. Jagun Department of Computer and Electrical Engineering, Olabisi Onabanjo University, Ago Iwoye, Ogun State, Nigeria
  • L.M. Erinle-Ibrahim Department of Mathematics, Tai Solarin University of Education Ijagun, Ogun State, Nigeria

DOI:

https://doi.org/10.3126/kuset.v15i3.63347

Keywords:

Zakharov–Kuznetsov equation, Homotopy perturbation method, Laplace transform method, Nonlinear differential equation, Algorithm, He’s polynomial

Abstract

In this research, homotopy perturbation transform method (HPTM) is used to present the approximate analytical solutions of (2+1) dimensional type of the Zakharov–Kuznetsov nonlinear partial differential equations. This method gives solutions without any linearization and discretization or restrictive assumptions. Special cases of and are chosen as examples to show the capability and efficiency of the method. Maple 19.0 software is employed to compute the series generated from the algorithm. The results show that HPTM is very simple, reliable and effective in solving nonlinear problems.

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Published

2021-12-30

How to Cite

Lawal, O., Jagun, O., & Erinle-Ibrahim, L. (2021). Homotopy Perturbation Transform Algorithm for Solving (2+1) Dimensional Type of the Zakharov–Kuznetsov Equations. Kathmandu University Journal of Science, Engineering and Technology, 15(3). https://doi.org/10.3126/kuset.v15i3.63347

Issue

Vol. 15 No. 3 (2021)

Section

Original Research Articles

License

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