https://mail.google.com/mail/u/0/?ui...5281fb46fdb&zw

Printable View

- January 11th 2013, 12:37 PMhelpthanksVerify 2D Laplace Solution
- January 11th 2013, 01:47 PMvincisonfireRe: Verify 2D Laplace Solution
What is your question?

- January 11th 2013, 01:59 PMhelpthanksRe: Verify 2D Laplace Solution
In part A I am not sure how to verify that the analytic solution is of the form described? Additionally I have done Laplace's transforms before but i have no idea how to do part B as well. Thanks for all your help!

- January 11th 2013, 02:18 PMvincisonfireRe: Verify 2D Laplace Solution
To verify the solution, just apply the Laplace operator to it and see that it gives 0 indeed. Note that your solution is separable , which should ease the procedure.

No need for Laplace transforms. This is the Laplace equation. - January 11th 2013, 03:08 PMhelpthanksRe: Verify 2D Laplace Solution
Would you mind doing or starting this problem for me, i have quite a few like this i have to do but am having trouble going through the whole process of one problem. Thanks again!

- January 11th 2013, 06:01 PMhelpthanksRe: Verify 2D Laplace Solution
Attached is my work so far.

- January 11th 2013, 07:49 PMvincisonfireRe: Verify 2D Laplace Solution
You fixed and such that the boundary conditions are satisfied. Good. But you need to check that the solution satisfies the Laplace equation, i.e. .

- January 11th 2013, 08:09 PMhelpthanksRe: Verify 2D Laplace Solution
The first page is where i verified that it is equal to zero and the second page I solved for A & B. What should i do differently on the first page that i did not do to show it is equal to zero?

- January 12th 2013, 05:23 AMvincisonfireRe: Verify 2D Laplace Solution
On the first page you checked that the Dirichlet boundary conditions and . This shows that 2 boundary conditions are satisfied. You need to compute the Laplacian of the function to show that the equation is true everywhere in the domain.