A Designed ADI Software for Solving Poisson's Equation

I. A. Ismail1 And M. M. Allan2

(1)Faculty of Computers and Informatics, Zagazig University, Zagazig, Egypt

(2)Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt

Abstract:
In This paper, a software has been designed to perform the alternating direction implicit, ADI, method for the case of two dimensional flow represented by Poisson's equation. A square mesh with varying mesh size has been adopted. The results came out very much complying with the analytical solutions asserting the rigorous of the software.

Keywords:   Poisson’s Equation, ADI Software, Streamline Vorticity Equation