Modified Burgers' equation by the local discontinuous Galerkin method  

作　　者：张荣培 蔚喜军 赵国忠 

机构地区：[1]School of Sciences,Liaoning Shihua University [2]Laboratory of Computational Physics,Institute of Applied Physics and Computational Mathematics [3]Faculty of Mathematics,Baotou Normal College

出　　处：《Chinese Physics B》2013年第3期106-110,共5页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos. 11261035,11171038,and 10771019);the Science Research Foundation of Institute of Higher Education of Inner Mongolia Autonomous Region,China (Grant No. NJZZ12198);the Natural Science Foundation of Inner Mongolia Autonomous Region,China (Grant No. 2012MS0102)

摘　　要：In this paper,we present the local discontinuous Galerkin method for solving Burgers＇ equation and the modified Burgers＇ equation.We describe the algorithm formulation and practical implementation of the local discontinuous Galerkin method in detail.The method is applied to the solution of the one-dimensional viscous Burgers＇ equation and two forms of the modified Burgers＇ equation.The numerical results indicate that the method is very accurate and efficient.In this paper,we present the local discontinuous Galerkin method for solving Burgers＇ equation and the modified Burgers＇ equation.We describe the algorithm formulation and practical implementation of the local discontinuous Galerkin method in detail.The method is applied to the solution of the one-dimensional viscous Burgers＇ equation and two forms of the modified Burgers＇ equation.The numerical results indicate that the method is very accurate and efficient.

关 键 词：local discontinuous Galerkin method modified Burgers＇ equation 

分 类 号：O241.8[理学—计算数学]