# Numerical Solution of Some Fractional Diffusion Equations

Numerical Solution of Some Fractional Diffusion Equations

This Demonstration shows numerical solutions of the fractional diffusion equation by means of weighted average methods (or methods). The boundary conditions specify that the solution equals zero at and . Four different initial conditions can be chosen. When the weight parameter equals 1/2, the numerical method is the fractional Crank–Nicolson method. When the "normal solution" checkbox is checked, the normal diffusion solution is also plotted.

u(x,t)

θ

u

x=0

x=1

λ=1-θ