Seyed Reza HEJAZI, Elaheh SABERI, Paeezeh MAHDAVI

Lie Symmetry Method for Solutions of Differential Equations with Applications in Physics

ISSN: 2587-2680
Yayın Aralığı: Yılda 4 Sayı
Başlangıç: 2002
Yayıncı: SİVAS CUMHURİYET ÜNİVERSİTESİ > FEN FAKÜLTESİ

Abstract. A mathematical method in pure mathematics (differential geometry) for finding solutions of differential equations is considered. The method is based on constructing a Lie algebra associated to a given system of differential equation, called Lie algebra of the symmetries of the given system. This Lie algebra is a vector space which maps a given solution, such as a constant solution, to another solution, it is a significant tool for finding new solution for system of differential equation specially partial differential equations. Then we will apply it to some differential equations in fluid mechanics and physics.

Keywords:

Differential equations, Fluid Mechanics, boundary layers Newtonian fluid, Flows of vector fields, heat transfer equation,

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