A fourth-order extrapolated compact difference method for time-fractional convection-reaction-diffusion equations with spatially variable coefficients
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Publication:1740007
DOI10.1016/j.amc.2017.05.037zbMath1427.65181OpenAlexW2624626619MaRDI QIDQ1740007
Publication date: 29 April 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2017.05.037
Richardson extrapolationvariable coefficienthigh-order convergencecompact difference methodfractional convection-reaction-diffusion equation
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)
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Cites Work
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- High-order algorithms for Riesz derivative and their applications. III
- Combined compact difference scheme for the time fractional convection-diffusion equation with variable coefficients
- 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
- Compact exponential scheme for the time fractional convection-diffusion reaction equation with variable coefficients
- A new difference scheme for the time fractional diffusion equation
- Stability and convergence of finite difference schemes for a class of time-fractional sub-diffusion equations based on certain superconvergence
- An implicit RBF meshless approach for time fractional diffusion equations
- Modeling anomalous heat transport in geothermal reservoirs via fractional diffusion equations
- Fourier spectral methods for fractional-in-space reaction-diffusion equations
- Numerical approximation of an interface problem for fractional in time diffusion equation
- A compact finite difference scheme for the fractional sub-diffusion equations
- Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion
- The high-order compact numerical algorithms for the two-dimensional fractional sub-diffusion equation
- Compact finite difference method for the fractional diffusion equation
- Finite difference approximations for the fractional Fokker-Planck equation
- A high-order compact finite difference scheme for the fractional sub-diffusion equation
- A compact finite difference method for solving a class of time fractional convection-subdiffusion equations
- A note on the finite element method for the space-fractional advection diffusion equation
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- The fundamental solutions for the fractional diffusion-wave equation
- Higher order finite difference method for the reaction and anomalous-diffusion equation
- The accuracy and stability of an implicit solution method for the fractional diffusion equation
- Time fractional diffusion: A discrete random walk approach
- Solution for a fractional diffusion-wave equation defined in a bounded domain
- Boundary value problems for the diffusion equation of the variable order in differential and difference settings
- High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations. II
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term
- A Fourier method for the fractional diffusion equation describing sub-diffusion
- Finite difference methods and a Fourier analysis for the fractional reaction-subdiffusion equation
- A fully discrete difference scheme for a diffusion-wave system
- Weighted average finite difference methods for fractional diffusion equations
- High Order Difference Schemes for a Time Fractional Differential Equation with Neumann Boundary Conditions
- Numerical Schemes with High Spatial Accuracy for a Variable-Order Anomalous Subdiffusion Equation
- Fractional diffusion and wave equations
- An advanced implicit meshless approach for the non-linear anomalous subdiffusion equation
- Error Estimates of Crank–Nicolson-Type Difference Schemes for the Subdiffusion Equation
- An Efficient Implicit FEM Scheme for Fractional-in-Space Reaction-Diffusion Equations
- Applications of Fractional Calculus to the Theory of Viscoelasticity
- A series of high-order quasi-compact schemes for space fractional diffusion equations based on the superconvergent approximations for fractional derivatives
- Stability and convergence of an implicit numerical method for the non-linear fractional reaction-subdiffusion process
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation
- New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation
- The fractional diffusion equation
- An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
- The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
- High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations. III.
