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In this article, a time‐fractional nonlinear moving boundary problem is considered to express the mathematical model of diffusion of a solvent into a glassy polymeric device. A numerical method, including an iterative process based on a non‐standard implicit finite difference method with variable time‐step is developed to solve this problem. The purpose of solving this problem is to study and predict...
In this article, we consider an anomalous diffusion model in a planar polymeric matrix as a space fractional diffusion problem with moving boundary conditions. An iterative implicit finite difference method with variable time‐steps is established to solve the proposed problem. The stability and consistency of the numerical method are proved and the estimation of the numerical error is conducted. The...
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