A fast temporal second-order compact ADI difference scheme for the 2D multi-term fractional wave equation
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Publication:2220749
DOI10.1007/s11075-020-00910-zzbMath1461.65231OpenAlexW3011308989MaRDI QIDQ2220749
Publication date: 25 January 2021
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-020-00910-z
convergence analysisstability analysisdifference schemefractional wave equationmulti-term fractional derivatives
Wave equation (35L05) 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) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Cites Work
- Unnamed Item
- Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation
- A new difference scheme for the time fractional diffusion equation
- Second-order approximations for variable order fractional derivatives: algorithms and applications
- A circulant preconditioner for fractional diffusion equations
- Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations
- A meshless point collocation method for 2-D multi-term time fractional diffusion-wave equation
- Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation
- A compact difference scheme for the fractional diffusion-wave equation
- Simulation of the approximate solutions of the time-fractional multi-term wave equations
- The Galerkin finite element method for a multi-term time-fractional diffusion equation
- A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations
- Spectral analysis and structure preserving preconditioners for fractional diffusion equations
- A multi-term fractional diffusion equation for oxygen delivery through a capillary to tissues
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- The temporal second order difference schemes based on the interpolation approximation for solving the time multi-term and distributed-order fractional sub-diffusion equations
- The temporal second order difference schemes based on the interpolation approximation for the time multi-term fractional wave equation
- Numerical methods for solving the multi-term time-fractional wave-diffusion equation
- Compact Crank-Nicolson schemes for a class of fractional Cattaneo equation in inhomogeneous medium
- Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation
- A fully discrete difference scheme for a diffusion-wave system
- Some temporal second order difference schemes for fractional wave equations
- Fast Iterative Solvers for Linear Systems Arising from Time-Dependent Space-Fractional Diffusion Equations
- Compact Alternating Direction Implicit Scheme for the Two-Dimensional Fractional Diffusion-Wave Equation
- Fast Evaluation of Linear Combinations of Caputo Fractional Derivatives and Its Applications to Multi-Term Time-Fractional Sub-Diffusion Equations
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations: A Second-Order Scheme
- A class of second order difference approximations for solving space fractional diffusion equations
- Efficient Numerical Solution of the Multi-Term Time Fractional Diffusion-Wave Equation
- A High-Order Difference Scheme for the Generalized Cattaneo Equation
