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math.NA2026
Finite Difference Approximation with ADI Scheme for Two-dimensional Keller-Segel Equations
Yubin Lu, Chi-An Chen, Xiaofan Li +1
Keller-Segel systems are a set of nonlinear partial differential equations used to model chemotaxis in biology. In this paper, we propose two alternating direction implicit (ADI) s…
math.NA2026
A Schrödinger-Based Dispersive Regularization Approach for Numerical Simulation of One-Dimensional Shallow Water Equations
Guosheng Fu, Chun Liu
We propose a novel dispersive regularization framework for the numerical simulation of the one-dimensional shallow water equations (SWE). The classical hyperbolic system is regular…