3d Heat Equation
My early work involved using time-stepping methods to solve differential equations and P.D.E.s.
I began by solving the heat equation (for a scalar) with periodic boundary conditions in one dimension.
I then modified my program to 2d then 3d. The next step was to adapt my program to a vectorial form.
I now have written a program that solves the 3d Heat Equation (aka the Diffusion equation) for a vector u=(u,v,w).
Here's the code for this program.