A stabilized semi-implicit Fourier spectral method for nonlinear space-fractional reaction-diffusion equations (Q2223205)

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English	A stabilized semi-implicit Fourier spectral method for nonlinear space-fractional reaction-diffusion equations	scientific article

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scholarly article

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title

A stabilized semi-implicit Fourier spectral method for nonlinear space-fractional reaction-diffusion equations (English)

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George Em. Karniadakis

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published in

Journal of Computational Physics

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publication date

28 January 2021

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full work available at URL

https://arxiv.org/abs/1904.07651

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zbMATH Keywords

space-fractional reaction-diffusion equations

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optimal error estimate

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semi-implicit time-stepping method

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Fourier spectral method

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linear stability

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MaRDI profile type

MaRDI publication profile

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cites work

Fourier spectral method for higher order space fractional reaction-diffusion equations

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A preconditioned numerical solver for stiff nonlinear reaction-diffusion equations with fractional Laplacians that avoids dense matrices

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A second-order operator splitting Fourier spectral method for fractional-in-space reaction-diffusion equations

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Fractional Gray-Scott model: well-posedness, discretization, and simulations

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A semi-alternating direction method for a 2-D fractional Fitzhugh-Nagumo monodomain model on an approximate irregular domain

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Numerical Approximation of a Time Dependent, Nonlinear, Space‐Fractional Diffusion Equation

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A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation

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Optimal Error Estimates of the Legendre--Petrov--Galerkin Method for the Korteweg--de Vries Equation

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Optimal Error Estimates of the Chebyshev--Legendre Spectral Method for Solving the Generalized Burgers Equation

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Non-classical $H^ 1$ projection and Galerkin methods for non-linear parabolic integro-differential equations

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Stabilized Crank-Nicolson/Adams-Bashforth Schemes for Phase Field Models

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A stabilized Runge-Kutta-Legendre method for explicit super-time-stepping of parabolic and mixed equations

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Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models

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ESERK5: a fifth-order extrapolated stabilized explicit Runge-Kutta method

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Unconditional Convergence and Optimal Error Estimates of a Galerkin-Mixed FEM for Incompressible Miscible Flow in Porous Media

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Unconditionally Optimal Error Estimates of a Crank--Nicolson Galerkin Method for the Nonlinear Thermistor Equations

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Unconditionally Convergent $L1$-Galerkin FEMs for Nonlinear Time-Fractional Schrödinger Equations

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Unconditionally optimal error estimates of a linearized Galerkin method for nonlinear time fractional reaction-subdiffusion equations

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A space-time fractional phase-field model with tunable sharpness and decay behavior and its efficient numerical simulation

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Spectral Methods

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Spectral Methods

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Identifiers

zbMATH Open document ID

1453.65370

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DOI

10.1016/j.jcp.2019.109141

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2223205