摘要
对一类带五次项的非线性Schrdinger方程的初边值问题提出一个新的守恒差分格式,并在先验估计的基础上证明了格式的稳定性和收敛性,数值实验结果表明此格式是有效可靠的.
In this work, a new conservative difference scheme is presented for the initial-boundary value problem of the class of nonlinear Schrodinger equation involving quintic term. On the basis of a priori estimates, convergence and stability of the numerical solution are proved. Numerical experi- ments demonstrate the accuracy and effectiveness of the proposed scheme.
出处
《扬州大学学报(自然科学版)》
CAS
CSCD
北大核心
2012年第3期27-29,41,共4页
Journal of Yangzhou University:Natural Science Edition
基金
国家自然科学基金资助项目(11001034)