Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Approximate Solution of Elliptic Poission Equation with IBVP using Finite Difference Scheme

Version 1 : Received: 5 October 2022 / Approved: 7 October 2022 / Online: 7 October 2022 (07:35:34 CEST)

How to cite: Jaćimović, V. Approximate Solution of Elliptic Poission Equation with IBVP using Finite Difference Scheme. Preprints 2022, 2022100073. https://doi.org/10.20944/preprints202210.0073.v1 Jaćimović, V. Approximate Solution of Elliptic Poission Equation with IBVP using Finite Difference Scheme. Preprints 2022, 2022100073. https://doi.org/10.20944/preprints202210.0073.v1

Abstract

In this study, we have considered for numerical solution of a Poisson equation in a domain. we have presented a first and second order finite difference method for solving the system of the intial boundary value. We have presented the numerical solution of the Poisson equations in a two-dimensional finite region. Numerical Solution and exact solution for the presented method has been compared and the figures presented. The present error analysis tables demonstrate the efficiency of the method.

Keywords

Poissons equation; IBVP; Numerical Solution; Finite difference method

Subject

Computer Science and Mathematics, Mathematics

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