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Approximate Solution of Lane-Emden Type Equations Using Variation of Parameters Method with an Auxiliary Parameter 被引量:1

Approximate Solution of Lane-Emden Type Equations Using Variation of Parameters Method with an Auxiliary Parameter
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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. 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.
出处 《Journal of Applied Mathematics and Physics》 2019年第4期921-941,共21页 应用数学与应用物理(英文)
关键词 Lane-Emden EQUATION Variation of PARAMETER METHOD (VPM) AUXILIARY PARAMETER Lane-Emden Equation Variation of Parameter Method (VPM) Auxiliary Parameter
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