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Variational iteration method for solving compressible Euler equations |
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| Authors: | Zhao Guo-Zhong Yu Xi-Jun Xu Yun and Zhu Jiang |
| Affiliation: | Graduate School of China Academy of Engineering Physics, Beijing 100088, China; Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China; Laboratório Nacional de Computacáo Cientifica, MCT, Avenida Getúlio Vargas 333, 25651-075 Petrópolis, RJ, Brazil |
| Abstract: | 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. |
| Keywords: | variational iteration method compressible Euler equations approximate analytic solutions Lagrange multiplier |
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