1.                          ly_ratio, ration of x dimension to y dimension
.1                          delta_t, size of time step
15                           number of polynomials to use in x direction
15                           number of polynomials to use in y direction
5                           number of output points in x direction
5                           number of output points in y direction
20                          number of timesteps
1                           functional form for initial condition
3                           functional form for diffusion coefficient