A new approach to the gas dynamics equation: An application of the variational iteration method. (English) Zbl 1156.76048

Jafari, Hossein; Hosseinzadeh, Hassan; Salehpoor, Elham

Appl. Math. Sci., Ruse 2, No. 45-48, 2397-2400 (2008).

Summary: He’s variational iteration method [J.-H. He, Appl. Math. Comput. 114, No. 2–3, 115–123 (2000; Zbl 1027.34009)] has been used to obtain solution of nonlinear gas dynamics equation. This method is based on Lagrange multipliers for identification of optimal values of parameters in a functional. Using this method creates a sequence which tends to the exact solution of the problem.

MSC:

76N15	Gas dynamics (general theory)
76M30	Variational methods applied to problems in fluid mechanics

Keywords:

convergence; Lagrange multipliers

Citations:

Zbl 1027.34009