A new diagonal and Toeplitz splitting preconditioning method for solving time-dependent Riesz space-fractional diffusion equations

DOI10.1016/j.aml.2023.108901MaRDI QIDQ6141002

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Publication date: 2 January 2024

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

preconditionerspectral distributionmatrix splitting iteration methodsRiesz space-fractional diffusion equations

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Preconditioners for iterative methods (65F08)

Cites Work

• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• A fractional diffusion equation to describe Lévy flights
• Motivations and realizations of Krylov subspace methods for large sparse linear systems
• Splitting preconditioning based on sine transform for time-dependent Riesz space fractional diffusion equations
• Efficient numerical methods for Riesz space-fractional diffusion equations with fractional Neumann boundary conditions
• A preconditioner based on sine transform for space fractional diffusion equations
• Circulant preconditioners for a kind of spatial fractional diffusion equations
• Superlinear PCG methods for symmetric Toeplitz systems

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