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...
| Autor principal: | RAMOS, Anderson de Jesus Araújo |
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| Outros Autores: | ALMEIDA JÚNIOR, Dilberto da Silva |
| Grau: | Artigo |
| Idioma: | eng |
| Publicado em: |
Universidade Federal do Pará
2018
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| Assuntos: | |
| Acesso em linha: |
http://repositorio.ufpa.br/jspui/handle/2011/10352 http://dx.doi.org/10.1590/S2179-84512013005000004 |
| Resumo: |
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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. |