摘要
对Pochhammer-Chree方程的周期边界问题构造了一个紧致差分格式,其截断误差为O(τ2+h4),运用离散泛函分析方法和归纳法证明了格式的收敛性和稳定性.最后给出数值实验,验证了格式的有效性.
A compact difference scheme for nonlinear Pochhammer-Chree equation with periodical boundary problems is studied.The truncation error of the scheme is O（τ^2＋h^4）.The stability and convergence are proved by discrete functional analysis and deduction method.Finally,the numerical results demonstrate the scheme is efficient.
出处
《江苏师范大学学报（自然科学版）》
CAS
2015年第4期44-46,共3页
Journal of Jiangsu Normal University：Natural Science Edition
