Variational iteration method for solving compressible Euler equations

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 converge...

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Published in:Chinese physics B 2010-07, Vol.19 (7), p.28-34, Article 070203
Main Author: 赵国忠 蔚喜军 徐云 朱江
Format: Article
Language:English
Subjects:
Approximation
Euler equations
Exact solutions
Iterative methods
Lagrange multipliers
Mathematical analysis
Mathematical models
Optimization
可压缩
收敛序列
欧拉方程组
气体动力学方程
近似解析解
迭代法
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description 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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subjects Approximation
Euler equations
Exact solutions
Iterative methods
Lagrange multipliers
Mathematical analysis
Mathematical models
Optimization
可压缩
收敛序列
欧拉方程组
气体动力学方程
近似解析解
迭代法
title Variational iteration method for solving compressible Euler equations
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