A novel high order compact ADI scheme for two dimensional fractional integro-differential equations
DOI10.1016/j.apnum.2021.05.008zbMath1476.65194OpenAlexW3162492234WikidataQ115360328 ScholiaQ115360328MaRDI QIDQ2034439
Zhibo Wang, Yuxiang Liang, Yan Mo
Publication date: 22 June 2021
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2021.05.008
stabilityconvergencecompact schemealternating direction implicit methodfractional integro-differential equation
Integro-ordinary differential equations (45J05) Fractional derivatives and integrals (26A33) 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) Finite difference methods for boundary value problems involving PDEs (65N06) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)
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Cites Work
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- A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
- 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
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- A second-order accurate numerical method for a fractional wave equation
- Linearized compact ADI schemes for nonlinear time-fractional Schrödinger equations
- A linearized second-order scheme for nonlinear time fractional Klein-Gordon type equations
- Compact alternating direction implicit scheme for integro-differential equations of parabolic type
- A second-order compact difference scheme for the fourth-order fractional sub-diffusion equation
- Numerical methods and analysis for a multi-term time-space variable-order fractional advection-diffusion equations and applications
- WSGD-OSC scheme for two-dimensional distributed order fractional reaction-diffusion equation
- Finite difference approximations for fractional advection-dispersion flow equations
- An ADI difference scheme based on fractional trapezoidal rule for fractional integro-differential equation with a weakly singular kernel
- Second order difference schemes for time-fractional KdV-Burgers' equation with initial singularity
- Sharp error estimate of a compact \(L1\)-ADI scheme for the two-dimensional time-fractional integro-differential equation with singular kernels
- Existence, uniqueness and numerical analysis of solutions of tempered fractional boundary value problems
- An alternating direction implicit orthogonal spline collocation method for the two dimensional multi-term time fractional integro-differential equation
- A fast linearized finite difference method for the nonlinear multi-term time-fractional wave equation
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Fast iterative method with a second-order implicit difference scheme for time-space fractional convection-diffusion equation
- A fully discrete difference scheme for a diffusion-wave system
- An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data
- Some temporal second order difference schemes for fractional wave equations
- Discretized Fractional Calculus
- A Difference Scheme for a Nonlinear Partial Integrodifferential Equation
- A second-order accurate numerical method for a semilinear integro-differential equation with a weakly singular kernel
- Unconditionally Convergent $L1$-Galerkin FEMs for Nonlinear Time-Fractional Schrödinger Equations
- Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
- A COMPACT DIFFERENCE SCHEME FOR FOURTH-ORDER FRACTIONAL SUB-DIFFUSION EQUATIONS WITH NEUMANN BOUNDARY CONDITIONS
- A class of second order difference approximations for solving space fractional diffusion equations
- A high-order ADI scheme for the two-dimensional time fractional diffusion-wave equation
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- An Introduction to Iterative Toeplitz Solvers
- The random walk's guide to anomalous diffusion: A fractional dynamics approach