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General one-dimensional model of the time-fractional diffusion-wave equation in various geometries

General one-dimensional model of the time-fractional diffusion-wave equation in various geometries

Abstract This paper deals with the analysis of the time-fractional diffusion-wave equation as one-dimensional problem in a large plane wall, long cylinder, and sphere. The result of the analysis is the proposal of one general mathematical model that describes various geometries and different processes. Finite difference method for solving the …