I can solve by myself, but I want use Mathematica software, can anyone help

[qweqaz307 (kevin kevin)]

How to solve by Mathematica software? I can solve by myself, but i want use Mathematica software. Can any one help me?

Laplce equation is Txx+Tyy=0

BC is
T(x,0) =0,
T(x,pi) =0,
T(0,y) =1,
T(inf,y) =0,

and the answer is

[seanc (Sean Clarke)]

This is the Laplace equation. The best place to start would be to look at posts about this equation here and on stackexchange such as:

How would I solve this Laplace equation?

Hi there, I have a laplace equation \nabla ^2 phi =0 , with boundary conditions \phi (x=\pm a, y=0)=\pm U/2 \phi (x=\pm \infty, y=\pm \infty) = 0 How would I solve that in Mathematica? I tried to use DSolve Second Order PDEs but I don’t quite understand it..

http://mathematica.stackexchange.com/questions/60663/solving-laplaces-equation-in-rectangle-domain-by-separation-of-variables

DSolve is useful for finding closed-form solutions to equations. Here is some documentation on what it does with this equation (http://reference.wolfram.com/language/tutorial/DSolveSecondOrderPDEs.html).The solution above is more of a statement that the solution T can be represented as a Fourier Series.

[qweqaz307 (kevin kevin)]

hi ,i am Taiwan near China,so my English is poor. but i have to say thanks for you ^^