TT-M finite element algorithm for a two-dimensional space fractional Gray-Scott model

DOI10.1016/j.camwa.2020.08.011zbMath1451.65150OpenAlexW3081695059MaRDI QIDQ2210610

Baoli Yin, Hong Li, Yang Liu, Enyu Fan, Jin-Feng Wang

Publication date: 7 November 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2020.08.011

zbMATH Keywords

stability analysisfinite element methodsa-priori error analysisspace fractional Gray-Scott model

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Functional-differential equations with fractional derivatives (34K37) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (11)

Novel patterns in a class of fractional reaction-diffusion models with the Riesz fractional derivative ⋮ Dissipation-preserving Fourier pseudo-spectral method for the space fractional nonlinear sine-Gordon equation with damping ⋮ A finite difference scheme for the two-dimensional Gray-Scott equation with fractional Laplacian ⋮ Local radial basis function collocation method preserving maximum and monotonicity principles for nonlinear differential equations ⋮ Fast TT-M fourth-order compact difference schemes for a two-dimensional space fractional Gray-Scott model ⋮ Numerical simulation of the time fractional Gray-Scott model on 2D space domains using radial basis functions ⋮ A fast time two-mesh finite volume element algorithm for the nonlinear time-fractional coupled diffusion model ⋮ An effective operator splitting method based on spectral deferred correction for the fractional Gray-Scott model ⋮ Fourth-order compact difference schemes for the two-dimensional nonlinear fractional mobile/immobile transport models ⋮ TT-M FE method for a 2D nonlinear time distributed-order and space fractional diffusion equation ⋮ Fast high-order compact difference scheme for the nonlinear distributed-order fractional Sobolev model appearing in porous media

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