摘要
对广义KS方程建立全离散的广义Hermite谱逼近格式,对离散格式进行先验估计,并证明离散格式关于初值的稳定性。利用广义Hermite函数的某些逼近结果,证明离散格式的收敛性,并得到近似解的误差阶。
Consider the initial value problem of a generalized Kuramoto-Sivashinsky type equation.Firstly,fully-and semi-discrete generalized Hermite spectral schemes are constructed.Then prior estimates of the se two discrete solutions are obtained,and the stability of the discrete scheme is proved.Finally,the convergence of the discrete scheme is proved by using some approximation results of the generalized Hermite function,and the convergence order is obtained.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
2011年第5期640-648,共9页
Journal of Natural Science of Heilongjiang University
基金
国家自然科学基金资助项目(10972018)
