Compact Difference Scheme for Time-Fractional Fourth-Order Equation with First Dirichlet Boundary Condition

DOI10.4208/eajam.260318.220618zbMath1468.65094OpenAlexW2910091133WikidataQ128627756 ScholiaQ128627756MaRDI QIDQ4983580

Ming Rong Cui

Publication date: 26 April 2021

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

Full work available at URL: https://doi.org/10.4208/eajam.260318.220618

zbMATH Keywords

stabilityconvergencecompact finite difference schemefractional partial differential equationfourth-order equationStephenson scheme

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) Fractional partial differential equations (35R11)

Related Items (9)

Two linearized finite difference schemes for time fractional nonlinear diffusion-wave equations with fourth order derivative ⋮ High-order compact finite volume scheme for the 2D multi-term time fractional sub-diffusion equation ⋮ Finite difference schemes for the fourth‐order parabolic equations with different boundary value conditions ⋮ Pointwise error estimate of the compact difference methods for the fourth‐order parabolic equations with the third Neumann boundary conditions ⋮ The compact difference approach for the fourth‐order parabolic equations with the first Neumann boundary value conditions ⋮ A high-order compact alternating direction implicit method for solving the 3D time-fractional diffusion equation with the Caputo-Fabrizio operator ⋮ Two linearized schemes for time fractional nonlinear wave equations with fourth-order derivative ⋮ A Compact Difference Scheme for Time-Fractional Dirichlet Biharmonic Equation on Temporal Graded Meshes ⋮ Numerical framework for the Caputo time-fractional diffusion equation with fourth order derivative in space

Cites Work

• A new difference scheme for the time fractional diffusion equation
• Compact finite difference method for the fractional diffusion equation
• Finite difference approximations for the fractional Fokker-Planck equation
• A fourth order finite difference method for the Dirichlet biharmonic problem
• Convergence analysis of high-order compact alternating direction implicit schemes for the two-dimensional time fractional diffusion equation
• A Fourier method for the fractional diffusion equation describing sub-diffusion
• Fast Finite Difference Approximation for Identifying Parameters in a Two-dimensional Space-fractional Nonlocal Model with Variable Diffusivity Coefficients
• 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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