Partial Differential Equations

[ptc-4716247]

All,

I am trying to numerically solve a transient 2D heat equation in a square plate that is 1m^2. With boundary conditions (bottom and left wall at 200C/top and left wall at 0C) and initial condition of T0=21C using MathCAD Prime (3.0).

Can someone guide me to how and approach such a problem on MathCAD. I have found that multigrid and numol functions are the ian ones used but multigrid is for 1D however.

Thanks

Ahmed Jalal

[HarveyHensley]

The pde solvers only handle 2 independent variables. You will have to write your own method. For your problem, the hopscotch method should work fine. You can find information about the method, including some references on my blog. I've used it for two dimensions plus time for a tubular reactor, but you should be able to use it for your dynamic diffusion problem.