3 papers
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…
math.NA2024
Optimal preconditioners for nonsymmetric multilevel Toeplitz systems with application to solving non-local evolutionary partial differential equations
Yuan-Yuan Huang, Sean Y. Hon, Lot-Kei Chou +1
Preconditioning for multilevel Toeplitz systems has long been a focal point of research in numerical linear algebra. In this work, we develop a novel preconditioning method for a c…
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…