Artigo

Finite difference preserving the energy properties of a coupled system of diffusion equations

In this paper we proved the exponential decay of the energy of a numerical scheme in finite difference applied to a coupled system of diffusion equations. At the continuous level, it is well-known that the energy is decreasing and stable in the exponential sense. We present in detail the numerical a...

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Autor principal: RAMOS, Anderson de Jesus Araújo
Outros Autores: ALMEIDA JÚNIOR, Dilberto da Silva
Grau: Artigo
Idioma: eng
Publicado em: Universidade Federal do Pará 2018
Assuntos:
Acesso em linha: http://repositorio.ufpa.br/jspui/handle/2011/10352
http://dx.doi.org/10.1590/S2179-84512013005000004
Resumo:
In this paper we proved the exponential decay of the energy of a numerical scheme in finite difference applied to a coupled system of diffusion equations. At the continuous level, it is well-known that the energy is decreasing and stable in the exponential sense. We present in detail the numerical analysis of exponential decay to numerical energy since holds the stability criterion.