Source points placement in the method of fundamental solutions for parabolic problems / Colocação de pontos de fonte no método de soluções fundamentais para problemas parabólicos

Carlos Eduardo Polatschek Kopperschmidt, Bruno Henrique Marques Margotto, Wellington Betencurte da Silva, Júlio César Sampaio Dutra

Abstract


In this paper, the placement of the source points for Method of Fundamental Solutions in one-dimensional parabolic partial differential equations is evaluated for two different traditional benchmark problems one with Dirichlet condition and other with mixed boundary conditions. Four source points placement strategies are used. The approximate results from Method of Fundamental Solutions are sensitive to strategy used, and when the positive timed source points are used the approximate results are instable.


Keywords


Method of Fundamental Solutions, Time-dependent, Parabolic, Heat conduction problem.

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References


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DOI: https://doi.org/10.34117/bjdv6n3-041

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