Abstract:
The main purpose of this project was focused and concerned on the numerical solution of
Laplace equation in non- rectangular domain by finite difference method and the most general
case of the explicit solution to finite difference equation are presented. The best approximate
convergent numerical solution was achieved by Successive over –relaxation (SOR) iterative
method other than Laplace Explicit method (LEM) and Alternative-Direction Successive over-
relaxation method (ADSOR). Finally it is shown that the choices of the step size ratio and over-
accelerating parameter are highly depend to get speeds up the convergence and better
approximate numerical solution; for the smallest step size ratio , the smallest number of
iteration for the solution but greatest approximate numerical solution is achieved for the
greatest step size ratio with