An efficient computational method for the approximate solution of nonlinear Lane-Emden type equations arising in astrophysics

被引：25

作者：

Singh, Harendra ^{[1
,2
]}

机构：

[1] Post Grad Coll, Dept Math, Ghazipur 233001, UP, India

[2] NISER, Sch Math Sci, Khurja 752050, Odisha, India

来源：

ASTROPHYSICS AND SPACE SCIENCE | 2018年 / 363卷 / 04期

关键词：

Lane-Emden type equations; White-dwarf equation; Isothermal gas spheres equation; Legendre scaling functions; Collocation method; SOLVING DIFFERENTIAL-EQUATIONS; OPERATIONAL MATRIX; NUMERICAL-SOLUTION; FRACTIONAL MODEL; WAVELETS METHOD; ALGORITHM;

D O I：

10.1007/s10509-018-3286-1

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The key purpose of this article is to introduce an efficient computational method for the approximate solution of the homogeneous as well as non-homogeneous nonlinear Lane-Emden type equations. Using proposed computational method given nonlinear equation is converted into a set of nonlinear algebraic equations whose solution gives the approximate solution to the Lane-Emden type equation. Various nonlinear cases of Lane-Emden type equations like standard Lane-Emden equation, the isothermal gas spheres equation and white-dwarf equation are discussed. Results are compared with some well-known numerical methods and it is observed that our results are more accurate.

引用

页数：10

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