NUMERICAL SOLUTION OF A 3-DIMENSIONAL HEATEQUATION BY HOMOTOPY PERTURBATION ALGORITHM

Authors

  • Kazeem Iyanda Falade Author
  • Ismail Gboyega Baoku Author
  • Muhammad Auwal Lawan Author

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.

Author Biographies

  • 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
    Nigeria.

  • Ismail Gboyega Baoku

    Department of Mathematical Sciences, Federal University Dutsin-Ma, P.M.B
    5001, Katsina State Nigeria

  • 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
    Nigeria.

Published

2026-10-20

Issue

Vol. 1 No. 1 (2021): UNILAG Journal Of Mathematics and Applications

Section

Articles