摘要
对二维Kuramoto-Tsuzuki方程混合初边值问题建立了线性化Crank-Nicolson型差分格式,利用离散函数的内插不等式和能量估计法证明了该格式解的存在唯一性,给出了差分格式的收敛阶为O(h^2+τ)的证明.
A linearized Crank-Nicolson difference scheme is constructed for two-dimensional Kuramoto-Tsuzuki equation. Existance,uniqueness and error estimate are presented by discrete energy analysis methods. The convergence order of difference scheme is O( h2+ τ).
作者
周丽
岳超慧
ZHOU Li;YUE Chao-hui(School of Sciences,Anhui Agricultural University,Hefei 230031,Anhui,China)
出处
《山西师范大学学报（自然科学版）》
2019年第1期20-27,共8页
Journal of Shanxi Normal University(Natural Science Edition)
基金
安徽省教育厅重点项目(KJ2015A318)
