Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5776360 | Journal of Computational and Applied Mathematics | 2017 | 15 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Weiwei Sun, Jilu Wang,