# Help w/ solving nonzero B.C PDE heat eq in polar coord.

1. Aug 3, 2009

### Warpedintellect

it is the typical pde heat equation in polar coord:
$$\partial$$u/$$\partial$$t = $$\partial^2$$u/$$\partial$$r$$^{2}$$ + (1/r) $$\partial$$u/$$\partial$$r + (1/r$$^{2}$$) $$\partial^2$$u/$$\partial$$$$\Theta^2$$

where:
- 0 < r < 1
- 0 < $$\Theta$$< 2 $$\Pi$$
- U(1, $$\Theta$$, t ) = sin3$$\Theta$$
- U(r, $$\Theta$$, 0 ) = 0

I don't know how to use the Bessel function with this non-zero BC. Please point me in the right direction

Last edited: Aug 3, 2009