A Compact Difference Scheme for Fourth-Order Temporal Multi-Term Fractional Wave Equations and Maximum Error Estimates
DOI10.4208/eajam.171118.060119zbMath1462.65104OpenAlexW2979615213MaRDI QIDQ4983622
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.171118.060119
stabilityconvergencecompact difference schememulti-term fractional derivativesspatial fourth-order derivative
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 (6)
Cites Work
- Artificial boundary conditions and finite difference approximations for a time-fractional diffusion-wave equation on a two-dimensional unbounded spatial domain
- Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation
- On finite difference methods for fourth-order fractional diffusion-wave and subdiffusion systems
- Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations
- Second-order stable finite difference schemes for the time-fractional diffusion-wave equation
- Sixth-order non-uniform combined compact difference scheme for multi-term time fractional diffusion-wave equation
- A fitted scheme for a Caputo initial-boundary value problem
- A novel finite difference discrete scheme for the time fractional diffusion-wave equation
- A second-order compact difference scheme for the fourth-order fractional sub-diffusion equation
- The temporal second order difference schemes based on the interpolation approximation for the time multi-term fractional wave equation
- New compact difference scheme for solving the fourth-order time fractional sub-diffusion equation of the distributed order
- The analytical solution and numerical solutions for a two-dimensional multi-term time fractional diffusion and diffusion-wave equation
- A compact finite difference scheme for the fourth-order fractional diffusion-wave system
- Numerical algorithms for the fractional diffusion-wave equation with reaction term
- On the convergence of a new reliable algorithm for solving multi-order fractional differential equations
- A new collection of real world applications of fractional calculus in science and engineering
- A non-polynomial numerical scheme for fourth-order fractional diffusion-wave model
- Numerical methods for solving the multi-term time-fractional wave-diffusion equation
- Numerical algorithms with high spatial accuracy for the fourth-order fractional sub-diffusion equations with the first Dirichlet boundary conditions
- A fully discrete difference scheme for a diffusion-wave system
- Two finite difference schemes for time fractional diffusion-wave equation
- Compact difference schemes for heat equation with Neumann boundary conditions (II)
- Compact Alternating Direction Implicit Scheme for the Two-Dimensional Fractional Diffusion-Wave Equation
- A new implicit compact difference scheme for the fourth-order fractional diffusion-wave system
- Fully discrete local discontinuous Galerkin methods for some time-fractional fourth-order problems
- Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations
- An efficient numerical treatment of fourth‐order fractional diffusion‐wave problems
- A Fourth Order Finite Difference Method for Time-Space Fractional Diffusion Equations
- Fast Finite Difference Schemes for Time-Fractional Diffusion Equations with a Weak Singularity at Initial Time
- A COMPACT DIFFERENCE SCHEME FOR FOURTH-ORDER FRACTIONAL SUB-DIFFUSION EQUATIONS WITH NEUMANN BOUNDARY CONDITIONS
- A high-order ADI scheme for the two-dimensional time fractional diffusion-wave equation
- Compact Finite Difference Scheme for the Fourth-Order Fractional Subdiffusion System
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