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 analysis of exponential decay to numerical energy since holds the stability criterion.
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Main Authors: | , |
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Format: | Digital revista |
Language: | English |
Published: |
Sociedade Brasileira de Matemática Aplicada e Computacional
2013
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Online Access: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512013000200003 |
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