On Convergence and Solvability of an Elliptic Equation by Finite Diference Method

Anderson Jesus Araújo Ramos

Abstract


In this article we deal with questions of convergence, existence and uniqueness of the numerical solutions for a discretized elliptic problem by using finite diference 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 diference method.


Keywords


elliptic equation, nite dierence, solvability of numerical solutions

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DOI: http://dx.doi.org/10.5540/tema.2017.018.01.0035

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TEMA - Trends in Applied and Computational Mathematics

A publication of the Brazilian Society of Applied and Computational Mathematics (SBMAC)
ISSN: 1677-1966  (print version),  2179-8451  (online version)

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