An improved finite difference/finite element method for the fractional Rayleigh-Stokes problem with a nonlinear source term
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Publication:2053153
DOI10.1007/s12190-020-01399-4zbMath1481.76152OpenAlexW3041253308MaRDI QIDQ2053153
Xiaodong Wang, Zhen Guan, Jie Ouyang
Publication date: 29 November 2021
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12190-020-01399-4
stabilityconvergencefinite element methodfinite difference methodOldroyd B fluidnonlinear source termfractional Rayleigh-Stokes problem
Finite difference methods applied to problems in fluid mechanics (76M20) Viscoelastic fluids (76A10) Fractional derivatives and integrals (26A33) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10)
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Filter regularization method for inverse source problem of the Rayleigh-Stokes equation ⋮ Unconditionally convergent and superconvergent FEMs for nonlinear coupled time-fractional prey-predator problem ⋮ Unconditionally optimal error estimates of two linearized Galerkin FEMs for the two-dimensional nonlinear fractional Rayleigh-Stokes problem ⋮ Some numerical extrapolation methods for the fractional sub-diffusion equation and fractional wave equation based on the \(L1\) Formula
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