# Partial Differential Equation

1. Jul 28, 2004

### tetirichie

Hi

Could somebody who knows how to solve the above mentioned equation please assist.The equation needs to be solved using any language but I am now very comfortable with matlab.

I am trying to solve the following eqaution using TDMA and Gauss-Seidel line relaxation:

$$A\frac{\partial^2 \phi}{\partial x^2} + \frac{\partial^2 \phi}{\partial y^2} = 0$$

$$A = 1 - M^2_\infty - (\gamma + 1)\frac{M^2_\infty}{u_\infty}\frac{\partial \phi}{\partial x}$$

$$u_\infty = 1 ; M^2_\infty = 0.975 ; \gamma = 1.4$$

My email is teti@myself.com

With Regards,

Richard

2. Jul 28, 2004

### arildno

Are there any problems with an iteration loop on A to handle the non-linearity embedded in it?