Numerical Method for the Solution of the One-Dimensional Anomalous Subdiffusion Equation with a Variable Diffusion Coefficient |
| M. Błasik
Częstochowa University of Technology, al. Armii Krajowej 19, 42-201 Częstochowa, Poland |
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| In this paper we present a numerical solution of a one-dimensional anomalous subdiffusion equation with a variable diffusion coefficient. The proposed method is an extension of the fractional Crank-Nicolson method for a subdiffusion equation with constant diffusion coefficient. The work of the proposed algorithm is illustrated by the results of numerical simulations. |
DOI:10.12693/APhysPolA.138.228 topics: fractional derivatives and integrals, fractional partial differential equations, numerical methods, transport processes |