A high-order two-grid difference method for nonlinear time-fractional biharmonic problems and its unconditional \(\alpha\)-robust error estimates
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Publication:6111356
DOI10.1007/s10915-023-02282-7OpenAlexW4382679310MaRDI QIDQ6111356
Hongfei Fu, Xiangcheng Zheng, Bingyin Zhang
Publication date: 6 July 2023
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-023-02282-7
unique solvability\(\alpha\)-robust error estimatehigh-order two-grid methodnonlinear time-fractional biharmonic equation
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Fractional partial differential equations (35R11) Numerical analysis (65-XX)
Related Items (3)
Pointwise error estimate of the compact difference methods for the fourth‐order parabolic equations with the third Neumann boundary conditions ⋮ Unconditional analysis of the linearized second-order time-stepping scheme combined with a mixed element method for a nonlinear time fractional fourth-order wave equation ⋮ Two-grid \(H^1 \)-Galerkin mixed finite elements combined with \(L1\) scheme for nonlinear time fractional parabolic equations
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