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

2018-11-012018-11-012013-08RAMOS, A.J.A.; ALMEIDA JR., D.S. Finite difference preserving the energy properties of a coupled system of diffusion equations. TEMA (São Carlos), São Carlos, v. 14, n. 2, p. 147-155, maio/ago. 2013. Disponível em: <http://repositorio.ufpa.br/jspui/handle/2011/10352>. Acesso em:.2179-8451https://repositorio.ufpa.br/handle/2011/10352In 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.Acesso AbertoEquações de difusãoDiferenças finitasDecaimento exponencial numéricoPropriedades de energiaFinite difference preserving the energy properties of a coupled system of diffusion equationsArtigo de PeriódicoCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICAhttp://dx.doi.org/10.1590/S2179-84512013005000004