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

共 38 条

[1] [Anonymous], 2017, NEURAL COMPUT APPL
[2] A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations
Bhrawy, A. H.
Doha, E. H.
Baleanu, D.
Ezz-Eldien, S. S.
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 293 : 142 - 156
[3] Application of the BPES to Lane-Emden equations governing polytropic and isothermal gas spheres
Boubaker, K.
Van Gorder, Robert A.
[J]. NEW ASTRONOMY, 2012, 17 (06) : 565 - 569
[4] Approximate polynomial solutions of the nonlinear Lane-Emden type equations arising in astrophysics using the squared remainder minimization method
Caruntu, Bogdan
Bota, Constantin
[J]. COMPUTER PHYSICS COMMUNICATIONS, 2013, 184 (07) : 1643 - 1648
[5] Chandrasekhar S., 1938, An Introduction to the Study of Stellar Structure
[6] Solutions of a class of singular second-order IVPs by homotopy-perturbation method
Chowdhury, M. S. H.
Hashim, I.
[J]. PHYSICS LETTERS A, 2007, 365 (5-6) : 439 - 447
[7] Davis H.T., 1962, Introduction to Nonlinear Differential and Integral Equations
[8] Approximate solution of a differential equation arising in astrophysics using the variational iteration method
Dehghan, Mehdi
Shakeri, Fatemeh
[J]. NEW ASTRONOMY, 2008, 13 (01) : 53 - 59
[9] A technique for the numerical solution of initial-value problems based on a class of Birkhoff-type interpolation method
Dehghan, Mehdi
Aryanmehr, S.
Eslahchi, M. R.
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2013, 244 : 125 - 139
[10] Emden R., 1907, Gaskugeln

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