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.

Downloads

Download data is not yet available.
Abstract
36
PDF
26

Downloads

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

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

This license enables reusers to distribute, remix, adapt, and build upon the material in any medium or format, so long as attribution is given to the creator. The license allows for commercial use. If you remix, adapt, or build upon the material, you must license the modified material under identical terms.