An analytic algorithm of Lane-Emden-type equations arising in astrophysics - a hybrid approach

被引：4

作者：

Baranwal, Vipul K. ^{[1
]}

Pandey, Ram K. ^{[1
]}

TripathiL, Ivianoj P. ^{[1
,2
]}

Singh, Om P. ^{[1
]}

机构：

[1] Banaras Hindu Univ, Indian Inst Technol, Dept Appl Math, Varanasi 221005, Uttar Pradesh, India

[2] Udal Pratap Autonomous Coll, Dept Math, Varanasi 221002, Uttar Pradesh, India

来源：

JOURNAL OF THEORETICAL AND APPLIED PHYSICS | 2012年 / 6卷 / 01期

关键词：

Lane-Emden-type equations; Isothermal gas sphere equation; White-dwarf equation; Hybrid of variational iteration method and Adomian's polynomials;

D O I：

10.1186/2251-7235-6-22

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

A new analytic algorithm for Lane-Emden equations is proposed in this paper. The proposed algorithm is obtained by using a new iterative method. The new iterative method is a hybrid of variational iteration method and the Adomian decomposition method and further refined by introducing a new correction functional. This new correction functional is obtained from the standard correction functional of variational iteration method by introducing an auxiliary parameter gamma in it. Further, a sequence G(n)(x), with suitably chosen support, is also introduced in the new correction functional. The algorithm is easy to implement and gives fairly accurate solutions. Several test examples are given establishing the accuracy and the efficiency of the algorithm.

引用

页数：16

共 27 条

[1] A new application of He's variational iteration method for quadratic Riccati differential equation by using Adomian's polynomials [J].