色散方程的一个新的数值格式  

A New Numerical Scheme of the Dispersive Equation

作　　者：王自强[1] 

机构地区：[1]贵州民族大学理学院,贵州贵阳550025

出　　处：《科技视界》2014年第13期8-8,43,共2页Science & Technology Vision

摘　　要：笔者用组合差商的方法对一维色散方程构造了一类高精度的二层含参数隐式差分格式,格式的截断误差为O((Δt+h3)),绝对稳定。当参数取特定值时,格式的精度可达到O(Δt2+h4)。One class high accuracy implicit difference schemes of two layers for solving the dispersive equations of one dimension is presented in this paper, the class of scheme uses combinatorial difference quotient method. It is an implicit scheme which has parameter, its truncation error is O（Δt＋h3）, and the stability condition is absolute stability. When the parameter takes the special definite value, its truncation error is O（Δt2＋h4）.

关 键 词：色散方程 组合差商法 绝对稳定 

分 类 号：O241.82[理学—计算数学]