# What is the solution of PDE given below?

• Feb 2nd 2011, 08:33 PM
bdcrown007
What is the solution of PDE given below?
http://i47.tinypic.com/syxkr7.png

From the above figure,

∇.(∇∅)=0

i.e. http://www.mathhelpforum.com/math-he...be85ba44a6.png

Given boundary conditions:
$\displaystyle \displaystyle \frac{\partial \varphi}{\partial n} = 0$ (normal direction)

$\displaystyle \varphi=0$ at grounded electrode
$\displaystyle \varphi=\varphi( t)$ at upper electrode

Now how can I solve?

I have tried as follows using separation of variable-

http://i56.tinypic.com/293zw4h.jpg
• Feb 3rd 2011, 05:48 PM
bdcrown007
Hope someone help me to find out the general solution of the equation mentioned above. Thank you all.....I am waiting :-w
• Feb 3rd 2011, 05:50 PM
dwsmith
Quote:

Originally Posted by bdcrown007
Hope someone help me to find out the general solution of the equation mentioned above. Thank you all.....I am waiting :-w

Don't bump unless you have relevant information or work to contribute to problem. Someone will get to it when they can.
• Feb 3rd 2011, 08:09 PM
bdcrown007
ok, thank you