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math.NA2026
A linear, decoupled and positivity-preserving time-staggered block-centered finite difference method for the multi-species Keller-Segel chemotaxis system
Ao Zhang, Bingyin Zhang, Hongfei Fu
In this paper, we present a linearly implicit, second-order block-centered finite difference (BCFD) prediction-then-projection scheme for the multi-species Keller-Segel chemotaxis…
math.NA2026
A variable time-step, second-order, and MBP-preserving linear stabilized scheme for the time-fractional Allen-Cahn equation
Bingyin Zhang, Ao Zhang, Hongfei Fu
In this paper, we present a second-order linear scheme based on the variable-step Alikhanov formula and central difference discretization for the time-fractional Allen-Cahn equatio…
math.NA2024
The stochastic fractional nonlinear Schrödinger equations in and structure-preserving algorithm
Ao Zhang, Yanjie Zhang, Pengde Wang +2
In this paper, we first investigate the global existence of a solution for the stochastic fractional nonlinear Schrödinger equation with radially symmetric initial data in a suitab…