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math.NA2022★ 6 cited
Error estimates and blow-up analysis of a finite-element approximation for the parabolic-elliptic Keller-Segel system
Wenbin Chen, Qianqian Liu, Jie Shen
The Keller-Segel equations are widely used for describing chemotaxis in biology. Recently, a new fully discrete scheme for this model was proposed in [46], mass conservation, posit…
math.NA2022★ 12 cited
A Uniquely Solvable, Positivity-Preserving and Unconditionally Energy Stable Numerical Scheme for the Functionalized Cahn-Hilliard Equation with Logarithmic Potential
Wenbin Chen, Jianyu Jing, Hao Wu
We propose and analyze a first-order finite difference scheme for the functionalized Cahn-Hilliard (FCH) equation with a logarithmic Flory-Huggins potential. The semi-implicit nume…