TY  - JOUR
TT  - Lie Symmetry Method for Solutions of Differential Equations with Applications in Physics
AU  - Hejazı, Seyed Reza
AU  - Saberı, Elaheh
AU  - Mahdavı, Paeezeh
PY  - 2015
DA  - May
JF  - Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi
PB  - Sivas Cumhuriyet University
WT  - DergiPark
SN  - 1300-1949
SP  - 2223
EP  - 2233
VL  - 36
IS  - 3
KW  - Differential equations
KW  - Fluid Mechanics
KW  - boundary layers
KW  - Newtonian fluid
KW  - Flows of vector fields
KW  - heat transfer equation
N2  - 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.
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UR  - https://dergipark.org.tr/en/pub/cumuscij/issue//564540
L1  - https://dergipark.org.tr/en/download/article-file/713992
ER  -