Fast high-order method for multi-dimensional space-fractional reaction-diffusion equations with general boundary conditions
From MaRDI portal
Publication:1998369
DOI10.1016/j.matcom.2020.11.001OpenAlexW3106099469MaRDI QIDQ1998369
Publication date: 6 March 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.13569
exponential time differencingmatrix transfer techniquediscrete fast transformspace-fractional reaction-diffusion
Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Numerical linear algebra (65Fxx) Miscellaneous topics in partial differential equations (35Rxx)
Related Items (8)
Efficient energy-preserving finite difference schemes for the Klein-Gordon-Schrödinger equations ⋮ Numerical simulation of high-dimensional two-component reaction–diffusion systems with fractional derivatives ⋮ Fast TT-M fourth-order compact difference schemes for a two-dimensional space fractional Gray-Scott model ⋮ An efficient fourth-order accurate conservative scheme for Riesz space fractional Schrödinger equation with wave operator ⋮ Efficient eighth‐order accurate energy‐preserving compact difference schemes for the coupled Schrödinger–Boussinesq equations ⋮ Second-order time integrators with the Fourier spectral method in application to multidimensional space-fractional Fitzhugh-Nagumo model ⋮ Efficient energy-preserving eighth-order compact finite difference schemes for the sine-Gordon equation ⋮ A fast implicit difference scheme for solving high-dimensional time-space fractional nonlinear Schrödinger equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Galerkin finite element method for two-dimensional Riesz space fractional diffusion equations
- New numerical methods for the Riesz space fractional partial differential equations
- Fourier spectral methods for fractional-in-space reaction-diffusion equations
- Operator splitting implicit integration factor methods for stiff reaction-diffusion-advection systems
- Exponential time differencing for stiff systems
- A parallel-in-time iterative algorithm for Volterra partial integro-differential problems with weakly singular kernel
- Compact integration factor methods in high spatial dimensions
- 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
- A split step approach for the 3-D Maxwell's equations
- A finite volume scheme with preconditioned Lanczos method for two-dimensional space-fractional reaction-diffusion equations
- Effect of surface slip on the relative motion and collision efficiency of slippery spherical particles
- A comparative study on nonlocal diffusion operators related to the fractional Laplacian
- Fractional Gray-Scott model: well-posedness, discretization, and simulations
- Accurate numerical methods for two and three dimensional integral fractional Laplacian with applications
- Linearly implicit predictor-corrector methods for space-fractional reaction-diffusion equations with non-smooth initial data
- Numerical solution for multi-dimensional Riesz fractional nonlinear reaction-diffusion equation by exponential Runge-Kutta method
- Fast implicit integration factor method for nonlinear space Riesz fractional reaction-diffusion equations
- Fast compact implicit integration factor method with non-uniform meshes for the two-dimensional nonlinear Riesz space-fractional reaction-diffusion equation
- Fourier spectral method for higher order space fractional reaction-diffusion equations
- A stabilized semi-implicit Fourier spectral method for nonlinear space-fractional reaction-diffusion equations
- Fourth-order time stepping methods with matrix transfer technique for space-fractional reaction-diffusion equations
- A preconditioning technique for all-at-once system from the nonlinear tempered fractional diffusion equation
- Numerical analysis of fully discretized Crank-Nicolson scheme for fractional-in-space Allen-Cahn equations
- An efficient, nonlinear stability analysis for detecting pattern formation in reaction diffusion systems
- An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems
- Fast explicit integration factor methods for semilinear parabolic equations
- Rational Approximation to the Fractional Laplacian Operator in Reaction-Diffusion Problems
- An Efficient Implicit FEM Scheme for Fractional-in-Space Reaction-Diffusion Equations
- Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
- Remarks on the Fractional Laplacian with Dirichlet Boundary Conditions and Applications
- A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation
- Computing Fractional Laplacians on Complex-Geometry Domains: Algorithms and Simulations
- A numerical approach for the Riesz space-fractional Fisher' equation in two-dimensions
- A compact fourth-order \(L\)-stable scheme for reaction-diffusion systems with nonsmooth data
This page was built for publication: Fast high-order method for multi-dimensional space-fractional reaction-diffusion equations with general boundary conditions
