西北师范大学学报（自然科学版）2017，Vol.53Issue(6)：10-15,21,7.DOI:10.16783/j.cnki.nwnuz.2017.06.003
基于迎风LDQ方法解Burgers方程
The LDQ method with upwind scheme for solving Burgers equations
摘要
Abstract
The differential quadrature method based on radial basis function with upwind scheme is proposed for solving the Burgers equations,and its numerical performance is compared with traditional LDQ method.Firstly a local support domain is created,and the diffusion term is discretized by choosing the original support domain,while the convection term is discretized by shifting the support domain according to the stream line direction.The discrete nodes of the support domain are used to construct a low order linear system for obtaining the coefficients of equations,then extended to global for obtain the approximate solutions for the Burgers equation.Numerical results show the methods have higher accuracy for solving the Burgers equations.关键词
无网格方法/径向基函数/迎风格式/Burgers方程/局部支撑域Key words
meshless method/radial basis function/upwind scheme/Burgers equations/local support domain分类
数理科学引用本文复制引用
陈龙,张学莹,胡婷婷..基于迎风LDQ方法解Burgers方程[J].西北师范大学学报（自然科学版）,2017,53(6):10-15,21,7.基金项目
教育部留学回国人员科研启动基金资助项目(20145003412) （20145003412）
江苏省自然科学基金资助项目(BK20160853) （BK20160853）
