begin figure begin center leavevmode epsfbox diffusion absorb begin figure begin center leavevmode epsfbox diffusion noflux a line plot of the solution at a fixed point u 5 0 t diffusion equation with point source jennarocca heat equation solution tools in mechanical engineering lecture slides docsity dsm crank nicholson solution for entropy diffusion in mm 1 4 13 mathematics of diffusion 6 solutions of diffusion equation plot the heat at depths of 0 5 10 15 and 20 m plots of the solution of the time fractional diffusion equation for 0 β 1 plots of the solution of the time fractional diffusion equation with fixed time and 0 figure 1 rate of decay of the solution to the diffusion equation a png image of the solution solution of convection diffusion equation with chebyshev approximation b 20 n the diffusion equation jennarocca diffusion equation solution 1d tessshlo solution of diffusion equation plot the heat at depths of 0 5 10 15 and 20 m published in fundamental solutions to time fractional advection diffusion equation discretizing the 2d heat equation solution of diffusion equation in spherical coordinates tessshlo begin figure begin center leavevmode epsfbox flux no article preview image of the solution corresponding to an example selection of omega no inside no comparison of ytic solution with numerical solution heat equation solution jennarocca power law scheme this is based on the ytical solution of the one dimensional convection comtional solutions of the tempered fractional wave diffusion equation fractional calculus and applied ysis 13 the plots of the rescaled fundamental solutions to the space time fractional diffusion equation of varying article preview article preview heat equation begin figure begin center leavevmode epsfbox diffusion noflux total image thumbnail no an image of the computed solution the convection diffusion equation inside temperature variation with respect to time for constant heat flux rain day 4 fourier theorem 10 3 1 3 5 01 23 5 even or odd functions 10 4 odd 7 11 odd 15b 21b 22 6 diffusion equation chap 10 appendix a quantifying diffusion fick s second law equation 5 2d heat equation using finite difference method with steady state solution