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math.NA2025
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.NA2025
Upwind-and-shifted numerical scheme for fractional convection equation
Lot-Kei Chou, Wan-Na Deng, Yuan-Yuan Huang +1
Fundamental solution of a space fractional convection equation of order is the probability density function of Lévy flights with long-tailed -stable jump length distribution…