Abstract

SEQUEIRA-CHAVARRIA, Filánder  and  RAMIREZ-BOGANTES, Melvin. Computational aspects of the finite difference method for the time-dependent heat equation. Uniciencia [online]. 2019, vol.33, n.1, pp.83-100. ISSN 2215-3470.  http://dx.doi.org/10.15359/ru.33-1.7.

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.

Keywords : Heat equation; finite difference method; computational implementation; MATLAB^®.

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