Numerical simulation for the two-dimensional and three-dimensional Riesz space fractional diffusion equations with delay and a nonlinear reaction term
DOI10.1080/00207160.2018.1544366OpenAlexW2898976817WikidataQ128975582 ScholiaQ128975582MaRDI QIDQ5031728
Publication date: 16 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2018.1544366
Richardson extrapolation methodalternating direction methodstability and convergencenonlinear reaction termRiesz space fractional diffusion equations with delay
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) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Semilinear parabolic equations (35K58)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A linearly implicit conservative difference scheme for the space fractional coupled nonlinear Schrödinger equations
- Galerkin finite element method for two-dimensional Riesz space fractional diffusion equations
- Second-order approximations for variable order fractional derivatives: algorithms and applications
- Crank-Nicolson difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative
- Modeling and numerical analysis of fractional-order Bloch equations
- Existence and uniqueness of the solutions for a class of nonlinear fractional order partial differential equations with delay
- Fractional Bloch equation with delay
- A finite difference scheme for semilinear space-fractional diffusion equations with time delay
- Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
- An algorithm for the numerical solution of differential equations of fractional order
- Numerical solution of fractional order differential equations by extrapolation
- Unconditional convergence in maximum-norm of a second-order linearized scheme for a time-fractional Burgers-type equation
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Solving fractional delay differential equations: a new approach
- Weighted finite difference methods for a class of space fractional partial differential equations with variable coefficients
- Linear approximation of transfer function with a pole of fractional power
- Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
- Linearized Crank–Nicolson method for solving the nonlinear fractional diffusion equation with multi-delay
- A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation
- Spectral and Discontinuous Spectral Element Methods for Fractional Delay Equations
- A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation
- A class of second order difference approximations for solving space fractional diffusion equations
- A numerical approach for the Riesz space-fractional Fisher' equation in two-dimensions
