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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Bibliographic Details
Main Authors: Ramos,A.J.A., Almeida Jr.,D.S.
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Matemática Aplicada e Computacional 2013
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512013000200003
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