双曲型方程的组合差商算法研究  

Research on Combination Difference for Hyperbolic Equation

作　　者：方春华[1] 

机构地区：[1]湖南理工学院数学与应用数学系,湖南岳阳414006

出　　处：《湖南理工学院学报（自然科学版）》2008年第4期7-10,38,共5页Journal of Hunan Institute of Science and Technology(Natural Sciences)

基　　金：湖南省教育厅资助科研项目(06C383)

摘　　要：针对一阶一维常系数双曲型方程,给出了关于乘积型差商空间中的组合差商法的概念,藉此分析了节点分布与差分格式类型和精度之间的关系,并给出了它的具体应用,同时用数值实例验证了理论分析的结果.In this paper, one-order one-dimensional constant coefficient hyperbolic equation is refered. At first the authers give some basic definitions about combination difference algorithm in product difference space. On this foundation the authers analyze the relation of node distributing and type of difference schemes. Then in product difference space by applying combination difference algorithm, series of difference schemes are constructed.

关 键 词：一维双曲型方程 组合差商解法 乘积型差商空间 高精度 

分 类 号：O241.82[理学—计算数学]