A second-order efficientL-stable numerical method for space fractional reaction–diffusion equations
DOI10.1080/00207160.2018.1435865zbMath1499.35696OpenAlexW2790726521MaRDI QIDQ5026520
Publication date: 8 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2018.1435865
Padé approximationexponential time differencingRiesz fractional derivative\(L\)-stablefractional enzyme kineticspace-fractional Allen-Cahn
Smoothness and regularity of solutions to PDEs (35B65) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Finite difference methods for boundary value problems involving PDEs (65N06) Fractional partial differential equations (35R11)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- A second order explicit finite difference method for the fractional advection diffusion equation
- Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
- New numerical methods for the Riesz space fractional partial differential equations
- Fourier spectral methods for fractional-in-space reaction-diffusion equations
- Traveling wave solutions of Allen-Cahn equation with a fractional Laplacian
- A fourth-order implicit-explicit scheme for the space fractional nonlinear Schrödinger equations
- Generalized exponential time differencing methods for fractional order problems
- Exponential time differencing for stiff systems
- Riesz potential operators and inverses via fractional centred derivatives
- Exponential time integration and Chebychev discretisation schemes for fast pricing of options
- Numerical methods for fractional partial differential equations with Riesz space fractional derivatives
- Exponential time integration for fast finite element solutions of some financial engineering problems
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- A new class of time discretization schemes for the solution of nonlinear PDEs
- Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows
- Numerical methods for the solution of partial differential equations of fractional order.
- Finite difference approximations for fractional advection-dispersion flow equations
- Quadratic Convergence for Valuing American Options Using a Penalty Method
- Pricing American options under multi-state regime switching with an efficientL- stable method
- An ETD Crank-Nicolson method for reaction-diffusion systems
- An Efficient Implicit FEM Scheme for Fractional-in-Space Reaction-Diffusion Equations
- The Fractional Laplacian
- Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
- Spectral Methods in MATLAB
- The numerical approximation of nonlinear Black–Scholes model for exotic path-dependent American options with transaction cost
- High Accuracy Spectral Method for the Space-Fractional Diffusion Equations
- Stabilized Crank-Nicolson/Adams-Bashforth Schemes for Phase Field Models
- Extrapolation to the Limit for Numerical Fractional Differentiation
- A real distinct poles exponential time differencing scheme for reaction-diffusion systems
This page was built for publication: A second-order efficientL-stable numerical method for space fractional reaction–diffusion equations
