An efficient technique for solving the two-dimensional heat equation

  • Christian Kasumo Mulungushi University
  • Edwin Moyo Mulungushi University
Keywords: Two-Dimensional Heat Equation, Semi Analytic Iterative Method, Convergence, Iterative Laplace Transform Method

Abstract

In this paper, we apply the semi analytic iterative method to the solution of the two-dimensional heat equation. By means of some numerical examples we show that this method is efficient and accurate in producing exact to near-exact solutions. Even where the exact solution is unknown, we were able to obtain it through the fast convergence of the method.
Published
2025-07-16
How to Cite
Kasumo, C., & Moyo, E. (2025). An efficient technique for solving the two-dimensional heat equation. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-2396
Section
Research Articles