Fast compact implicit integration factor method with non-uniform meshes for the two-dimensional nonlinear Riesz space-fractional reaction-diffusion equation
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Publication:2189697
DOI10.1016/j.apnum.2020.05.005zbMath1442.65164OpenAlexW3024760534MaRDI QIDQ2189697
Huan-Yan Jian, Yong-Liang Zhao, Ting-Zhu Huang, Xian-Ming Gu
Publication date: 16 June 2020
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2020.05.005
reaction-diffusion equationsRiesz fractional derivativecompact implicit integration factor methodweighted and shifted Grüwald-Letnikov difference
Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical methods for initial value problems involving ordinary differential equations (65L05) Fractional partial differential equations (35R11)
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Legendre-Chebyshev spectral collocation method for two-dimensional nonlinear reaction-diffusion equation with Riesz space-fractional ⋮ An efficient fourth-order accurate conservative scheme for Riesz space fractional Schrödinger equation with wave operator ⋮ Numerical solution of two‐dimensional nonlinear Riesz space‐fractional reaction–advection–diffusion equation using fast compact implicit integration factor method ⋮ A fast second-order scheme for nonlinear Riesz space-fractional diffusion equations ⋮ Fast IIF-WENO method on non-uniform meshes for nonlinear space-fractional convection-diffusion-reaction equations ⋮ Fast image inpainting strategy based on the space-fractional modified Cahn-Hilliard equations ⋮ Fast numerical schemes for nonlinear space-fractional multidelay reaction-diffusion equations by implicit integration factor methods ⋮ Fast high-order method for multi-dimensional space-fractional reaction-diffusion equations with general boundary conditions ⋮ High-order explicit conservative exponential integrator schemes for fractional Hamiltonian PDEs
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