HELP!!: Laplace 2D equation on a square

SarahRoberts

New member
Joined
Sep 29, 2006
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1
Hi everyone,

I quite get the answer out for this question and i just feel like i have been beating my head into a wall for 4 hours! aghh....

picture12vv7.png


I get stuck when i try to solve the sub-problem which has boundary conditions:

picture13gn5.png


I do the usual thing of seperating varibales on
picture14eh5.png
which leads to the equations:

picture15oe2.png


so i solved these equations and applyed the boundary conditions:

X'(0) = 0, X'(1) = 0, Y(1) = 0

this gives the equation
picture16pd3.png


but then if i sub in the non-homogenous BC,
picture17zg4.png


i get 0 = x

lol, what have i done this time! :p

any help would be so very much appreciated! :)

Cheers
Sarah
 
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