A finite difference method for a numerical solution of elliptic boundary value problems

• Autores: P.K. Pandey, S.S.A. Jaboob
• Localización: Applied Mathematics and Nonlinear Sciences, ISSN-e 2444-8656, Vol. 3, Nº. 1, 2018, págs. 311-320
• Idioma: inglés
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• Resumen

  • In this article, we have considered for numerical solution of a Poisson and Laplace equation in a domain. we have presented a novel finite difference method for solving the system of the boundary value problems subject to Dirichlet boundary conditions. We have derived the solution of the Poisson and Laplace equations in a two-dimensional finite region. We present numerical experiments to demonstrate the efficiency of the method.