Modified Burgers' equation by the local discontinuous Galerkin method

被引：4
|
作者：
Zhang Rong-Pei [1 ]
Yu Xi-Jun [2 ]
Zhao Guo-Zhong [3 ]
机构：
[1] Liaoning Shihua Univ, Sch Sci, Fushun 113001, Peoples R China
[2] Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100088, Peoples R China
[3] Baotou Normal Coll, Fac Math, Baotou 014030, Peoples R China
来源：
CHINESE PHYSICS B | 2013年 / 22卷 / 03期
基金：
中国国家自然科学基金;
关键词：
local discontinuous Galerkin method; modified Burgers' equation; PARTIAL-DIFFERENTIAL-EQUATIONS; FINITE-ELEMENT-METHOD; NUMERICAL-SOLUTION;
D O I：
10.1088/1674-1056/22/3/030210
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
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.
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页数：5
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