A Comparison of the Semi Analytical and Numerical Method in Solving the Problem of Magnetohydrodynamics Flow of a Third Grade Fluid between Two Parallel Plates

  • Lawal O. W Tai Solarin University of Education
  • Erinle-Ibrahim L. M Tai Solarin University of Education
  • Okunoye O. S Tai Solarin University of Education
Keywords: Third-grade fluid; Magnetohydrodynamics flow; Non-Newtonian fluid; Homotopy; Perturbation method; Semi-analytical method.

Abstract

The main purpose of this study is to compare a semi-analytical method and numerical method namely the homotopy perturbation method (HPM) and finite difference method (FDM) respectively. These methods were employed for solving the nonlinear problem of the magnetohydrodynamic (MHD) couette flow of third-grade fluid between the two parallel plates. The comparison was made between a solution of HPM and FDM against a solution obtained from regular perturbation and the results are tabulated. From a computational viewpoint, it is revealed that the HPM is more reliable and efficient than FDM. Also, the results show that the FDM requires slightly more computational effort than the HPM, although the HPM yields more accurate results than the FDM.

 

Author Biographies

Lawal O. W, Tai Solarin University of Education

Department of Mathematics, Tai Solarin University of Education, Ijagun, Ogun State, Nigeria.

Erinle-Ibrahim L. M , Tai Solarin University of Education

Department of Mathematics, Tai Solarin University of Education, Ijagun, Ogun State, Nigeria

Okunoye O. S, Tai Solarin University of Education

Department of Mathematics, Tai Solarin University of Education, Ijagun, Ogun State, Nigeria

Published
2022-12-26
Section
Research Paper

Journal Identifiers


eISSN: 2220-184X
print ISSN: 2073-073X