Variational iteration method for solving compressible Euler equations

被引：6
|
作者：
Zhao Guo-Zhong [1 ]
Yu Xi-Jun [2 ]
Xu Yun [2 ]
Zhu Jiang [3 ]
机构：
[1] China Acad Engn Phys, Grad Sch, Beijing 100088, Peoples R China
[2] Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100088, Peoples R China
[3] MCT, Lab Nacl Comp Cient, BR-25651075 Petropolis, RJ, Brazil
来源：
CHINESE PHYSICS B | 2010年 / 19卷 / 07期
基金：
中国国家自然科学基金;
关键词：
variational iteration method; compressible Euler equations; approximate analytic solutions; Lagrange multiplier; SOLITARY-WAVE SOLUTIONS; NONLINEAR EVOLUTION-EQUATIONS; EXPLICIT EXACT-SOLUTIONS; BURGERS-TYPE EQUATIONS; AIR OSCILLATOR MODEL; (G'/G)-EXPANSION METHOD; KDV-TYPE; SYSTEM; ORDER; TERMS;
D O I：
10.1088/1674-1056/19/7/070203
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper applies the variational iteration method to obtain approximate analytic solutions of compressible Euler equations in gas dynamics. This method is based on the use of Lagrange multiplier for identification of optimal values of parameters in a functional. Using this method, a rapid convergent sequence is produced which converges to the exact solutions of the problem. Numerical results and comparison with other two numerical solutions verify that this method is very convenient and efficient.
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页数：7
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