I want to numerically solve the non-linear diffusion equation:$$\frac{\partial}{\partial t} T(x,t)= \frac{\partial}{\partial x}\left(T^{5/2} \frac{\partial T}{\partial x} \right)$$I want to use finite difference approach to solve it via Crank-Nicolson method. But I don't understand how to treat the non-linear coefficient when applying the numerical method.
Numerical solution of non-linear diffusion equation via finite-difference with the Crank-Nicolson method
finite difference;parabolic pde;nonlinear equations;diffusion