High-order time stepping Fourier spectral method for multi-dimensional space-fractional reaction-diffusion equations
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Publication:2203759
DOI10.1016/j.camwa.2018.09.061zbMath1442.65289OpenAlexW2898993685WikidataQ129001441 ScholiaQ129001441MaRDI QIDQ2203759
S. S. Alzahrani, Abdul Q. M. Khaliq
Publication date: 2 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2018.09.061
fractional LaplacianFourier spectraltime stepping methodspace-fractional reaction-diffusion equations
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)
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Cites Work
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- The sinc-Legendre collocation method for a class of fractional convection-diffusion equations with variable coefficients
- Fourier spectral methods for fractional-in-space reaction-diffusion equations
- Numerical study of three-dimensional Turing patterns using a meshless method based on moving Kriging element free Galerkin (EFG) approach
- Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
- A second-order operator splitting Fourier spectral method for fractional-in-space reaction-diffusion equations
- Exponential time differencing for stiff systems
- Invariant analysis of nonlinear fractional ordinary differential equations with Riemann-Liouville fractional derivative
- Smoothing schemes for reaction-diffusion systems with nonsmooth data
- Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
- A new class of time discretization schemes for the solution of nonlinear PDEs
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- A fast spectral algorithm for nonlinear wave equations with linear dispersion
- A direct \(O(N \log ^{2} N)\) finite difference method for fractional diffusion equations
- Linearly implicit predictor-corrector methods for space-fractional reaction-diffusion equations with non-smooth initial data
- Efficiency of exponential time differencing schemes for nonlinear Schrödinger equations
- Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation
- Variational multiscale element free Galerkin (VMEFG) and local discontinuous Galerkin (LDG) methods for solving two-dimensional Brusselator reaction-diffusion system with and without cross-diffusion
- An efficient, nonlinear stability analysis for detecting pattern formation in reaction diffusion systems
- Finite difference approximations for two-sided space-fractional partial differential equations
- Rational Approximation to the Fractional Laplacian Operator in Reaction-Diffusion Problems
- Spectral Methods
- Novel Numerical Methods for Solving the Time-Space Fractional Diffusion Equation in Two Dimensions
- Solving Ordinary Differential Equations I
- An Efficient Implicit FEM Scheme for Fractional-in-Space Reaction-Diffusion Equations
- Spectral Methods in MATLAB
- Remarks on the Fractional Laplacian with Dirichlet Boundary Conditions and Applications
- The numerical approximation of nonlinear Black–Scholes model for exotic path-dependent American options with transaction cost
- Numerical methods for fractional partial differential equations
- A Novel High Order Space-Time Spectral Method for the Time Fractional Fokker--Planck Equation
- Computing Fractional Laplacians on Complex-Geometry Domains: Algorithms and Simulations
- Spectral smoothed boundary methods: The role of external boundary conditions
