摘要
考虑了一类广义的对称正则长波方程的周期初值问题．对所论问题构造了不同于已有文献的半离散和全离散的ＦｏｕｒｉｅｒＧａｌｅｒｋｉｎ 谱格式，采用更精细的估计不等式，给出了近似解的收敛性证明和最佳误差估计，改进了已有文献的结果．
The periodic initial value problem of a class of generalized symmetric regularized long wave equations is considered. The semi discrete and fully discrete Fourier Galerkin schemes different from those in former study for the problem are constructed. Moreover, by using a more precise estimate inequality, the convergence and the optimum error estimates for the approximate solution are given in theory. The results extend and improved some results in [3].
出处
《兰州大学学报（自然科学版）》
CAS
CSCD
北大核心
1999年第4期17-24,共8页
Journal of Lanzhou University(Natural Sciences)
基金
西安石油学院校内基金
关键词
逼近解
误差估计
傅里叶谱法
SRLW方程
广义
symmetric regularized long wave equation
periodic initial value problem
spectral method
approximate solution
error estimate
