How to solve this PDE ?

[FanCG]

Does the information given by the system mean that mathcad cannot handle this kind of parabolic equation?

[AlanStevens · Accepted solution]

Pdesolve will only handle two-dimensional pde's: x,t, or x,y say, not x,y,t.

Alan

[FanCG]

so， can i use the function "multigrid ()" or sth else instead of PDEsolve?

[AlanStevens]

Fan CG wrote:

...can i use the function "multigrid ()" ?

Only in steady-state.

or sth else instead of PDEsolve?

For time-dependent, spatially 2-D problems you would need to discretize space explicitly and then use an ode solver, like Rkadapt, for the time dependent part. Even this is a drag in MC because the 2-D spatial components need to be contained in a 1-D vector.

Alan