色散方程两层绝对稳定的实心隐格式  

Two level and absolutely stable full-node implicit schemes for dispersive equation

作　　者：花小琴[1] 张大凯[2] 

机构地区：[1]江苏科技大学数理学院,江苏镇江212003 [2]贵州大学理学院,贵州贵阳550025

出　　处：《江苏科技大学学报（自然科学版）》2009年第6期561-563,共3页Journal of Jiangsu University of Science and Technology:Natural Science Edition

摘　　要：利用组合差商法对色散方程ut=auxxx的初边值问题构造了一组带参数的2层4点实心隐式差分格式,其截断误差为O(τ2+h4),绝对稳定.这是一组高精度、高稳定的差分格式.By combining difference solution, a group of partial - node implicit schemes were designed for solving the initial boundary value problem of the dispersive equation ui = auxxx. The schemes were two level and with parameters, and their truncation errors were O （τ^2＋h^4） and absolutely stable. The resuh is that they are high precise and high stable.

关 键 词：色散方程 组合差商法 绝对稳定 隐格式 

分 类 号：O241.82[理学—计算数学]