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    ARTICLE

    Quadratic Finite Volume Element Schemes over Triangular Meshes for a Nonlinear Time-Fractional Rayleigh-Stokes Problem

    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 - 19 April 2021

    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 More >

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