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math.NA2024
Fractional-step High-order and Bound-preserving Method for Convection Diffusion Equations
Baolin Kuang, Hongfei Fu, Shusen Xie
In this paper, we derive two bound-preserving and mass-conserving schemes based on the fractional-step method and high-order compact (HOC) finite difference method for nonlinear co…
math.NA2024★ 4 cited
Strang splitting structure-preserving high-order compact difference schemes for nonlinear convection diffusion equations
Baolin Kuang, Shusen Xie, Hongfei Fu
In this paper, we present a class of high-order and efficient compact difference schemes for nonlinear convection diffusion equations, which can preserve both bounds and mass. For…
math.NA2024★ 4 cited
Maximum-Norm Error Estimates of Fourth-Order Compact and ADI Compact Finite Difference Methods for Nonlinear Coupled Bacterial Systems
Jie Xu, Shusen Xie, Hongfei Fu
In this paper, by introducing two temporal-derivative-dependent auxiliary variables, a linearized and decoupled fourth-order compact finite difference method is developed and analy…