Mathematical Problems in Engineering 
Volume 2008 (2008), Article ID 578723, 11 pages
doi:10.1155/2008/578723
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

Recommended by Mohammad Younis

Abstract

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.