求解一维对流方程的差分格式  

The Difference Scheme for Solving One-dimensional Convection Equation

作　　者：李海燕 陈豫眉 LI Haiyan;CHEN Yumei(College of Mathematics and Information,China West Normal University,Nanchong Sichuan 737009,China;College of Mathematics Education,China West Normal University,Nanchong Sichuan 737009,China)

机构地区：[1]西华师范大学数学与信息学院,四川南充737009 [2]西华师范大学公共数学学院,四川南充737009

出　　处：《佳木斯大学学报（自然科学版）》2024年第3期169-173,共5页Journal of Jiamusi University：Natural Science Edition

基　　金：西华师范大学项目(KH2023-061)。

摘　　要：针对一维对流方程,提出了一种具有六阶空间精度的差分格式,形成关于时间的半离散化方程;在时间层上,利用指数函数的Pade近似求解该方程.最后通过数值算例验证其精确性.In this paper,a difference scheme with sixth-order spatial accuracy is proposed for one-dimensional convection equations,and a semi-discretization equation about time is formed.On the time layer,the Pade of exponential function is used to solve the equation.Finally,the accuracy of the equation is verified by numerical examples.

关 键 词：对流方程 半离散化 差分格式 

分 类 号：O241.82[理学—计算数学]