It's one dimensional. 0 ≤ x ≤ π
u_t = u_xx + t^2 e^-t
BC: -u_x = u/2 for both ends
IC: u(0,x) = 0
I already determined the eigenvalues but I can't proceed. And what if the source is te^-t x instead?
Asked
Active
Viewed 76 times
1
-
http://people.math.gatech.edu/~xchen/teach/pde/heat/Heat-Duhamel.pdf – operatorerror May 20 '19 at 23:39