Computational considerations in non‐linear diffusion

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Abstract
The numerical solution of non‐linear diffusion problems is considered from the computational view‐ point. The advantage of various aspects of the problem solution are considered toward enhancing the computational understanding of the system. First is the analytical solution to the reduced linear case which acts as an error check on the numerical solutions as well as providing a base for a perturbation theory approach. Next are two different numerical solutions which are utilized to generate solution redundancy. These are based upon the method of differential quadrature and the method of finite differences.The application to non‐linear transient slab diffusion with a general reservoir boundary condition is shown as an example of the various methods.