Article ID Journal Published Year Pages File Type
5776360 Journal of Computational and Applied Mathematics 2017 15 Pages PDF
Abstract
The paper is concerned with the time step condition of the commonly-used semi-implicit Crank-Nicolson finite difference schemes for a coupled nonlinear Schrödinger system in three dimensional space. We present the optimal L2 error estimate without any restriction on time step, while all previous works require certain time step conditions. Our approach is based on a rigorous analysis in both real and imaginary parts of the energy estimate (inequality) of the error function. Numerical examples for both two-dimensional and three-dimensional models are investigated and numerical results illustrate our theoretical analysis.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
, ,