A Compact Difference Scheme for Time-Fractional Dirichlet Biharmonic Equation on Temporal Graded Meshes

DOI10.4208/eajam.270520.210920zbMath1468.65095OpenAlexW3109522215MaRDI QIDQ4986579

Ming Rong Cui

Publication date: 27 April 2021

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.270520.210920

zbMATH Keywords

stabilityconvergencegraded meshcompact difference schemenonsmooth solutionfractional biharmonic equation

Mathematics Subject Classification ID

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Fractional partial differential equations (35R11)

Related Items (1)

Effective difference methods for solving the variable coefficient fourth-order fractional sub-diffusion equations

Cites Work

• Unnamed Item
• A new difference scheme for the time fractional diffusion equation
• A fourth order finite difference method for the Dirichlet biharmonic problem
• Recent advances in the study of a fourth-order compact scheme for the one-dimensional biharmonic equation
• Convergence analysis of high-order compact alternating direction implicit schemes for the two-dimensional time fractional diffusion equation
• A compact ADI scheme for two-dimensional fractional sub-diffusion equation with Neumann boundary condition
• Compact Difference Scheme for Time-Fractional Fourth-Order Equation with First Dirichlet Boundary Condition
• A Fast Direct Solver for the Biharmonic Problem in a Rectangular Grid
• Convergence of a Compact Scheme for the Pure Streamfunction Formulation of the Unsteady Navier–Stokes System

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