Approximate Solution of Lane-Emden Type Equations Using Variation of Parameters Method with an Auxiliary Parameter

• 作者: Asmaa S. Khalifa Hany N. Hassan
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: Lane-Emden Equation VARIATION of PARAMETER METHOD (VPM) AUXILIARY PARAMETER
• 年，卷（期）: 2019,（4）
• 页码范围: 921-941
• 页数: 21页
• 分类号: O1

摘要

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.