Yanlong Zhang1, Yanhui Zhou2, Jiming Wu3,*
CMES-Computer Modeling in Engineering & Sciences, Vol.127, No.2, pp. 487-514, 2021, DOI:10.32604/cmes.2021.014950
Abstract In this article, we study a 2D nonlinear time-fractional Rayleigh-Stokes problem, which has an anomalous sub-diffusion term, on triangular meshes by quadratic finite volume element schemes. Time-fractional derivative, defined by Caputo fractional derivative, is discretized through formula, and a two step scheme is used to approximate the time first-order derivative at time , where the nonlinear term is approximated by using a matching linearized difference scheme. A family of quadratic finite volume element schemes with two parameters are proposed for the spatial discretization, where the range of values for two parameters are , . For testing the precision of numerical… More >
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