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math.NA2023
A fast fractional block-centered finite difference method for two-sided space-fractional diffusion equations on general nonuniform grids
Meijie Kong, Hongfei Fu
In this paper, a two-sided variable-coefficient space-fractional diffusion equation with fractional Neumann boundary condition is considered. To conquer the weak singularity caused…
math.NA2023★ 12 cited
An efficient two-grid fourth-order compact difference scheme with variable-step BDF2 method for the semilinear parabolic equation
Bingyin Zhang, Hongfei Fu
Due to the lack of corresponding analysis on appropriate mapping operator between two grids, high-order two-grid difference algorithms are rarely studied. In this paper, we firstly…
math.NA2023
High order numerical methods based on quadratic spline collocation method and averaged L1 scheme for the variable-order time fractional mobile/immobile diffusion equation
Xiao Ye, Jun Liu, Bingyin Zhang +2
In this paper, we consider the variable-order time fractional mobile/immobile diffusion (TF-MID) equation in two-dimensional spatial domain, where the fractional order satis…