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  1. No Access

    Article

    \(\alpha \) -Robust Error Analysis of Two Nonuniform Schemes for Subdiffusion Equations with Variable-Order Derivatives

    In this paper, we will consider the variable-order subdiffusion initial-boundary value problem with weakly singular solutions. By using the nonuniform L1 scheme and nonuniform Alikhanov scheme in time, two eff...

    Chaobao Huang, Na An, Hu Chen, **jun Yu in Journal of Scientific Computing (2023)

  2. No Access

    Article

    A Sharp \(\alpha \) -Robust \(L^\infty (H^1)\) Error Bound for a Time-Fractional Allen-Cahn Problem Discretised by the Alikhanov \(L2-1_\sigma \) Scheme and a Standard FEM

    A time-fractional Allen-Cahn initial-boundary value problem is considered, where the bounded spatial domain \(\Omega \) ...

    Chaobao Huang, Martin Stynes in Journal of Scientific Computing (2022)

  3. No Access

    Article

    \(\beta \) -Robust Superconvergent Analysis of a Finite Element Method for the Distributed Order Time-Fractional Diffusion Equation

    A distributed order time fractional diffusion equation whose solution has a weak singularity near the initial time \(t = 0\) ...

    Chaobao Huang, Hu Chen, Na An in Journal of Scientific Computing (2021)

  4. No Access

    Article

    α-robust error analysis of a mixed finite element method for a time-fractional biharmonic equation

    An initial-boundary value problem of the form D ...

    Chaobao Huang, Martin Stynes in Numerical Algorithms (2021)

  5. No Access

    Article

    Superconvergence of a Finite Element Method for the Multi-term Time-Fractional Diffusion Problem

    A time-fractional initial-boundary value problem is considered, where the differential equation has a sum of fractional derivatives of different orders, and the spatial domain lies in \({\mathbb {R}}^d\)Rd with $...

    Chaobao Huang, Martin Stynes in Journal of Scientific Computing (2020)