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

 

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Bibliographic Details
Authors: Sequeira-Chavarría, Filánder, Ramírez-Bogantes, Melvin
Format: artículo original
Status:Versión publicada
Publication Date:2019
Description: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.
Country:Portal de Revistas UNA
Institution:Universidad Nacional de Costa Rica
Repositorio:Portal de Revistas UNA
Language:Español
OAI Identifier:oai:www.revistas.una.ac.cr:article/11107
Online Access:https://www.revistas.una.ac.cr/index.php/uniciencia/article/view/11107
Keyword:Heat equation
finite difference method
computational implementation
MATLAB
ecuación de calor
método de diferencias finitas
implementación computacional