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math.NA2026
Optimal preconditioning techniques for finite volume approximation of three-dimensional conservative space-fractional diffusion equations
Wei Qu, Siu-Long Lei, Sean Y. Hon +1
A Crank-Nicolson finite volume approximation for three-dimensional conservative space-fractional diffusion equation results in large and dense three-level Toeplitz discrete linear…
math.NA2025
An optimal preconditioner for high-order scheme arising from multi-dimensional Riesz space fractional diffusion equations with variable coefficients
Yuan-Yuan Huang, Wei Qu, Sean Y. Hon +1
In this paper, we propose an efficient method for solving multi-dimensional Riesz space fractional diffusion equations with variable coefficients. The Crank-Nicolson (CN) method is…
math.NA2024
A novel fourth-order scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equations and its optimal preconditioned solver
Wei Qu, Yuan-Yuan Huang, Sean Hon +1
A novel fourth-order finite difference formula coupling the Crank-Nicolson explicit linearized method is proposed to solve Riesz space fractional nonlinear reaction-diffusion equat…