2 papers
math.NA2024
Error estimates of a regularized finite difference method for the Logarithmic Schrödinger equation with Dirac delta potential
Xuanxuan Zhou, Tingchun Wang, Yong Wu +1
In this paper, we introduce a conservative Crank-Nicolson-type finite difference schemes for the regularized logarithmic Schrödinger equation (RLSE) with Dirac delta potential in 1…
math.NA2024
Positivity preserving and mass conservative projection method for the Poisson-Nernst-Planck equation
Fenghua Tong, Yongyong Cai
We propose and analyze a novel approach to construct structure preserving approximations for the Poisson-Nernst-Planck equations, focusing on the positivity preserving and mass con…