Mathematical Problems in Engineering
Volume 2008 (2008), Article ID 578723, 11 pages
Research Article

Exact and Numerical Solutions of Poisson Equation for Electrostatic Potential Problems

Selçuk Yıldırım

Department of Electrical Education, Firat University, 23119 Elazig, Turkey

Received 19 September 2007; Accepted 17 March 2008

Academic Editor: Mohammad Younis

Copyright © 2008 Selçuk Yıldırım. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Homotopy perturbation method (HPM) and boundary element method (BEM) for calculating the exact and numerical solutions of Poisson equation with appropriate boundary and initial conditions are presented. Exact solutions of electrostatic potential problems defined by Poisson equation are found using HPM given boundary and initial conditions. The same problems are also solved using the BEM. The cell integration approach is used for solving Poisson equation by BEM. The problem region containing the charge density is subdivided into triangular elements. In addition, this paper presents a numerical comparison with the HPM and BEM.