摘要
对一类带五次项的非线性Schr dinger方程的初边值问题提出了一个带参数θ的守恒差分格式,并且在先验估计的基础上,证明了差分格式以阶O(h2+2τ)收敛稳定.
In this work,a conservative difference scheme with a parameter θ is presented for the initial-boundary value problem of the nonlinear Schrdinger equation involving quintic term.On the basis of the priori estimates,convergence and stability of the numerical solution are proved with order O(h^2+τ~2) in the energy norm.
出处
《徐州师范大学学报(自然科学版)》
CAS
2006年第4期40-43,共4页
Journal of Xuzhou Normal University(Natural Science Edition)