TITLE:
Approximate Solution of Lane-Emden Type Equations Using Variation of Parameters Method with an Auxiliary Parameter
AUTHORS:
Asmaa S. Khalifa, Hany N. Hassan
KEYWORDS:
Lane-Emden Equation, Variation of Parameter Method (VPM), Auxiliary Parameter
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.7 No.4,
April
24,
2019
ABSTRACT: Lane-Emden type equation is
a nonlinear differential equation appears in many fields such as stellar
structure, radioactive cooling and modeling of clusters of galaxies. In this
work, this equation is investigated using a semi-analytical method called the
Variation of parameters method with an auxiliary parameter. In the applied
technique, an unknown auxiliary parameter is inserted in Variation of
Parameters Method to solve some special cases of these equations. The used algorithm is easy to implement and very effective. The obtained
solutions are also fairly accurate.