双曲方程的一种二阶TVD差分格式构造方法  

A Construction Method of TVD Difference Schemes with Second Order Accuracy for Hyperbolic Equations

作　　者：丁彦武[1] 蔚淑君[1] 钱进[2] 

机构地区：[1]内蒙古财经学院计算中心,内蒙古呼和浩特010051 [2]内蒙古大学数学系,内蒙古呼和浩特010021

出　　处：《内蒙古大学学报（自然科学版）》1999年第6期683-687,共5页Journal of Inner Mongolia University：Natural Science Edition

摘　　要：本文采用一阶迎风差分格式作Ｔａｙｌｏｒ展开，消去低阶项，给出求解守恒型双曲方程初值问题的一种二阶ＴＶＤ 差分格式的构造方法。In this paper,a construction method of TVD difference schemes with second order accuracy for conservation hyperbolic laws is given,which is obtained by the first order upwind difference scheme expanded into Taylor series and eliminated the lower order terms.The method may be eventually formally used to the nonconservation hyperbolic equations.

关 键 词：守恒型 非守恒型 TVD差分格式 双曲型方程 

分 类 号：O241.82[理学—计算数学]