Article
A finite difference method for a numerical solution of elliptic boundary value problems
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Abstract
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.
Keywords
Elliptic equations, finite difference method, finite region, maximum absolute error, Poison and Laplace equations, 65N06
Citation
Pandey, P. & Jaboob, S. (2018). A finite difference method for a numerical solution of elliptic boundary value problems. Applied Mathematics and Nonlinear Sciences, 3(1), 311–320. https://doi.org/10.21042/AMNS.2018.1.00024
P. Pandey and S. Jaboob, “A finite difference method for a numerical solution of elliptic boundary value problems,” Applied Mathematics and Nonlinear Sciences, vol. 3, no. 1, pp. 311–320, 2018, doi: 10.21042/AMNS.2018.1.00024.
Pandey P, Jaboob S. A finite difference method for a numerical solution of elliptic boundary value problems. Applied Mathematics and Nonlinear Sciences. 2018;3(1):311–320. doi:10.21042/AMNS.2018.1.00024.
Pandey, P. and Jaboob, S. (2018), ‘A finite difference method for a numerical solution of elliptic boundary value problems’, Applied Mathematics and Nonlinear Sciences, 3(1), pp. 311–320. Available at: https://doi.org/10.21042/AMNS.2018.1.00024.
Pandey, P.k., and S.s.a. Jaboob. “A Finite Difference Method for a Numerical Solution of Elliptic Boundary Value Problems.” Applied Mathematics and Nonlinear Sciences, vol. 3, no. 1, 2018, pp. 311–320. https://doi.org/10.21042/AMNS.2018.1.00024.
Pandey, P.k., and S.s.a. Jaboob. “A Finite Difference Method for a Numerical Solution of Elliptic Boundary Value Problems.” Applied Mathematics and Nonlinear Sciences 3, no. 1 (2018): 311–320. https://doi.org/10.21042/AMNS.2018.1.00024.
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Published by: Engineering Journals
