2 papers
math.NA2025
Unconditional and optimal error analysis of two linearized finite difference schemes for the logarithmic Schrödinger equation
Tingchun Wang, Jingye Yan
In this paper, we propose two linearized finite difference schemes for solving the logarithmic Schrödinger equation (LogSE) without the need for regularization of the logarithmic…
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…