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Semary, M.S., Hassan, H.N. and Radwan, A.G. (2017) Single and Dual Solutions of Fractional Order Differential Equations Based on Controlled Picard’s Method with Simpson Rule. Journal of the Association of Arab Universities for Basic and Applied Sciences, 24, 247-253.
https://doi.org/10.1016/j.jaubas.2017.06.001

has been cited by the following article:

• 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.