Efficient second-order ADI difference schemes for three-dimensional Riesz space-fractional diffusion equations
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Publication:2047605
DOI10.1016/j.camwa.2021.06.016OpenAlexW3186406895MaRDI QIDQ2047605
Chen Zhu, Jun Liu, Bingyin Zhang, Hongfei Fu
Publication date: 20 August 2021
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2021.06.016
finite difference methodADIstability and convergenceefficient implementationRiesz space-fractional diffusion equation
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)
Related Items (5)
An easy to implement linearized numerical scheme for fractional reaction-diffusion equations with a prehistorical nonlinear source function ⋮ On \(\tau\)-preconditioner for a novel fourth-order difference scheme of two-dimensional Riesz space-fractional diffusion equations ⋮ A fast second-order scheme for nonlinear Riesz space-fractional diffusion equations ⋮ An efficient alternating direction implicit finite difference scheme for the three-dimensional time-fractional telegraph equation ⋮ Error analysis of fast L1 ADI finite difference/compact difference schemes for the fractional telegraph equation in three dimensions
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