A compact ADI scheme for the two dimensional time fractional diffusion-wave equation in polar coordinates
DOI10.1002/num.21976zbMath1332.65126OpenAlexW2140536791WikidataQ115398138 ScholiaQ115398138MaRDI QIDQ3462536
Publication date: 15 January 2016
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.21976
convergenceenergy methodnumerical experimentalternating direction implicit methodpolar coordinatescompact difference schemetime fractional diffusion-wave equations
Initial-boundary value problems for second-order hyperbolic equations (35L20) 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)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation
- Numerical algorithm with high spatial accuracy for the fractional diffusion-wave equation with von Neumann boundary conditions
- A compact difference scheme for the fractional diffusion-wave equation
- A compact finite difference scheme for the fractional sub-diffusion equations
- A compact fourth order scheme for the Helmholtz equation in polar coordinates
- A compact difference scheme for a two dimensional fractional Klein-Gordon equation with Neumann boundary conditions
- Compact finite difference method for the fractional diffusion equation
- Implicit finite difference approximation for time fractional diffusion equations
- Finite difference approximations for fractional advection-dispersion flow equations
- The method of difference potentials for the Helmholtz equation using compact high order schemes
- Compact 2D and 3D sixth order schemes for the Helmholtz equation with variable wave number
- A high-order exponential ADI scheme for two dimensional time fractional convection-diffusion equations
- A fully discrete difference scheme for a diffusion-wave system
- Finite difference approximations for two-sided space-fractional partial differential equations
- A High-Order Numerical Method for the Helmholtz Equation with Nonstandard Boundary Conditions
- Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data
- New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation
- An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
- A high-order ADI scheme for the two-dimensional time fractional diffusion-wave equation
- A High-Order Difference Scheme for the Generalized Cattaneo Equation
This page was built for publication: A compact ADI scheme for the two dimensional time fractional diffusion-wave equation in polar coordinates