begin figure begin center leavevmode epsfbox diffusion absorb image thumbnail plot the solution examples and tests plot the heat at depths of 0 5 10 15 and 20 m unsteady convection diffusion reaction problem examples and tests image thumbnail examples and tests image thumbnail advection diffusion equation source term jennarocca 1d advection diffusion equation matlab code tessshlo begin figure begin center leavevmode epsfbox diffusion noflux examples and tests examples and tests advection diffusion equation source term jennarocca discretizing the 2d heat equation 1d heat transfer examples and tests examples and tests burgers equation in 1d and 2d figure 5 solution of the stationary diffusion equation corresponding to a piecewise constant diffusion coefficient math 531 partial diffeial equations the 1d diffusion equation plot the heat at depths of 0 5 10 15 and 20 m image thumbnail diffusion equation point source finite difference method to solve heat diffusion equation in two 24 1d post processing plot 1 dimensional advection diffusion equation compare diffe time stepping schemes plot 4 results in one figure with matlab 22 matlab plot the heat at depths of 0 5 10 15 and 20 m examples and tests 1d wave propagation a finite difference approach begin figure begin center leavevmode epsfbox sum absorb advection diffusion equation source term jennarocca the solution is somewhat sensitive to the choices of time step and spatial discretization if you make the time step too big the method is not le numerical solution by finite difference method for 1d heat or diffusion 4 1d diffusion equation solution 1d matlab tessshlo diffusion equation solution 2d tessshlo thumbnail 2d heat equation using finite difference method with steady state solution examples and tests