A fast numerical method for two-dimensional Riesz space fractional diffusion equations on a convex bounded region
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Publication:1671733
DOI10.1016/j.apnum.2018.07.007OpenAlexW2883887852MaRDI QIDQ1671733
Publication date: 7 September 2018
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://eprints.qut.edu.au/120143/1/A%20fast%20numerical%20method%20for%20two-dimensional%20Riesz.pdf
preconditioned conjugate gradient methodFitzhugh-Nagumo modelfractional diffusion equationcirculant preconditionerRiesz space fractional derivativeon a convex bounded region
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An unstructured mesh finite difference/finite element method for the three-dimensional time-space fractional Bloch-Torrey equations on irregular domains ⋮ A local RBFs-based DQ approximation for Riesz fractional derivatives and its applications ⋮ Analytical, semi-analytical, and numerical solutions for the Cahn-Allen equation ⋮ A fast time integral finite difference method for a space-time fractional FitzHugh-Nagumo monodomain model in irregular domains ⋮ Efficient numerical algorithms for Riesz-space fractional partial differential equations based on finite difference/operational matrix ⋮ Unconditionally convergent numerical method for the two-dimensional nonlinear time fractional diffusion-wave equation ⋮ The global analysis on the spectral collocation method for time fractional Schrödinger equation ⋮ Efficient second-order ADI difference schemes for three-dimensional Riesz space-fractional diffusion equations ⋮ A preconditioner based on sine transform for two-dimensional semi-linear Riesz space fractional diffusion equations in convex domains ⋮ A robust preconditioner for two-dimensional conservative space-fractional diffusion equations on convex domains
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