Computational aspects of the finite difference method for the time-dependent heat equation

Keywords: Heat equation, finite difference method, computational implementation, MATLAB

Abstract

In this paper we describe in detail an algorithm for the efficient computational implementation of the finite difference method (FDM) in the two-dimensional time-dependent heat equation with non-homogeneous Dirichlet boundary conditions. The MATLAB® software was used to validate the method mentioned here; however, the processes are presented independently from the programming language. Finally, numerical results are presented to validate the proposed algorithm.

References

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Published
2019-01-31
How to Cite
Sequeira-Chavarría, F., & Ramírez-Bogantes, M. (2019). Computational aspects of the finite difference method for the time-dependent heat equation. Uniciencia, 33(1), 83-100. https://doi.org/10.15359/ru.33-1.7
Section
Original scientific papers (evaluated by academic peers)