<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

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

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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...

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

Published Online: Oct 03, 2018

Page range: 311 - 320

Received: Mar 18, 2018

Accepted: Jun 26, 2018

DOI: https://doi.org/10.21042/AMNS.2018.1.00024

Keywords
Elliptic equations, finite difference method, finite region, maximum absolute error, Poison and Laplace equations

© 2018 P.K. Pandey and S.S.A. Jaboob, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Oct 03, 2018

Page range: 311 - 320

Received: Mar 18, 2018

Accepted: Jun 26, 2018

DOI: https://doi.org/10.21042/AMNS.2018.1.00024

KeywordsElliptic equations, finite difference method, finite region, maximum absolute error, Poison and Laplace equations

© 2018 P.K. Pandey and S.S.A. Jaboob, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Elliptic equations, finite difference method, finite region, maximum absolute error, Poison and Laplace equations