NUMERICAL SOLUTION OF A 3-DIMENSIONAL HEAT EQUATION BY HOMOTOPY PERTURBATION ALGORITHM

  • KAZEEM IYANDA FALADE Department of Mathematics, Faculty of Computing and Mathematical Sciences, Kano University of Science and Technology Wudil, P.M.B 3244, Kano State
  • Ismail Gboyega Baoku Department of Mathematical Sciences, Federal University Dutsin-Ma, P.M.B 5001, Katsina State
  • MUHAMMAD AUWAL LAWAN Department of Mathematics, Faculty of Computing and Mathematical Sciences, Kano University of Science and Technology Wudil, P.M.B 3244, Kano State
Keywords: Heat equation, Homotopy perturbation method, exact solutions, homotopy perturbation algorithm (HPA)

Abstract

In this paper, a newly proposed algorithm for the numerical solutions of a 3-dimensional heat equation was presented. The formulated algorithm was developed using homotopy perturbation method (HPM). In order to test the feasibility of the proposed algorithm, four examples are considered and the numerical solutions obtain are in good agreement with available solutions in literature and exact solutions. From the computational point of view, the numerical solutions and graphs presentation show clearly that homotopy perturbation algorithm is feasible, efficiency and easy to implement.

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Published
2021-08-27
How to Cite
FALADE, K. I., Baoku, I. G., & LAWAN, M. A. (2021). NUMERICAL SOLUTION OF A 3-DIMENSIONAL HEAT EQUATION BY HOMOTOPY PERTURBATION ALGORITHM. Unilag Journal of Mathematics and Applications, 1(1), 1 - 19. Retrieved from http://lagjma.unilag.edu.ng/article/view/1302
Issue
Vol 1 No 1 (2021): MAY 2021
Section
Articles

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