(Universidade Federal do Pará, 2013-08) RAMOS, Anderson de Jesus Araújo; ALMEIDA JÚNIOR, Dilberto da Silva
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.
(Universidade Federal do Pará, 2017-04) RAMOS, Anderson de Jesus Araújo
In this article we deal with questions of convergence, existence and uniqueness of the numerical solutions for a discretized elliptic problem by using finite difference method. In order to show existence and uniqueness of numerical solutions we will use a suitable variational setup (at discrete level) to guarantee the existence of a numerical solution by means of a finite difference method
