TY - JOUR
TI - A lie symmetry approach for a non-linear ordinary differential equation arising in engineering sciences
AU - Bakkaloglu Ahmet
JN - Thermal Science
PY - 2022
VL - 26
IS - 102
SP - 711
EP - 717
PT - Article
AB - A non-linear second order ODE has some applications in engineering problems.  In physics, it arises in the modeling of the flux of a heated compressible  fluid through a long slender tube. In this paper, we consider a non-linear  second order differential equation whose analytic solution cannot be  obtained directly. Therefore, we first find the canonical transformations  to rewrite the equation in terms of canonical variables by using the Lie  symmetry approach. We then reduce the order of the equation, which is a  first type Abel equation, to one by defining a new variable.