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Ibragimov, N.H. (1996) Elementary Lie Group Analysis and Ordinary Differential Equations. John Wiley Sons, New York.

has been cited by the following article:

• TITLE: Geometrical and Numerical Approach to Solve Transonic Gas Equation

  AUTHORS: Sami H. Altoum

  KEYWORDS: Symmetry Group, Infinitesimal Generator, Prolongation, Transonic Gas, Numerical Solution

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.6 No.8, August 15, 2018

  ABSTRACT: In this paper, the transonic gas equation will be considered. Different methods will be presented and discussed. We will show that there is no unique solution in the computational domain [-1, 1]2with Dirichlet boundary conditions.