Article ID Journal Published Year Pages File Type
1702789 Applied Mathematical Modelling 2016 16 Pages PDF
Abstract

In this paper, an implicit finite difference method is explored for the fractional subdiffusion system. The method is proved to be uniquely solvable, stable and convergent when 0<γ≤log23−10<γ≤log23−1 with the order of O(τ2+h2)O(τ2+h2) in L∞ norm by the energy method with some novel skilled processing. Numerical experiments show that the scheme is second-order accuracy in temporal direction and can reduce the storage requirement and CPU time. The capability upon physical simulation of the scheme is good and it can be used to imitate the subdiffusive process of the fractional dynamical system.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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