Approximate solution of a differential equation arising in astrophysics using the variational iteration method

被引：173
|
作者：
Dehghan, Mehdi [1 ]
Shakeri, Fatemeh [1 ]
机构：
[1] Amir Kabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran 15914, Iran
来源：
NEW ASTRONOMY | 2008年 / 13卷 / 01期
关键词：
astrophysics; the Lane-Emden equation; variational iteration method;
D O I：
10.1016/j.newast.2007.06.012
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
The Lane-Emden equation is Poisson's equation for the gravitational potential of a self-gravitating, spherically symmetric polytropic fluid which arises in many applications of mathematical physics and constitutes a good model for many systems in various fields. In this work, this equation is investigated using the variational iteration method. Application of variational iteration technique to this problem shows the efficiency and applicability of this procedure for solving this equation. This technique does not require any discretization, linearization or small perturbations and therefore reduces the numerical computations a lot. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：53 / 59
页数：7
相关论文
共 50 条
  • [1] Approximate Solution for Systems of Fuzzy Differential Equations by Variational Iteration Method
    Barazandeh, Yousef
    Ghazanfari, Bahman
    PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2019, 51 (08): : 13 - 33
  • [2] Approximate analytical solution of the coupled sine-Gordon equation using the variational iteration method
    Batiha, B.
    Noorani, M. S. M.
    Hashim, I.
    PHYSICA SCRIPTA, 2007, 76 (05) : 445 - 448
  • [3] Solution of Riccati matrix differential equation using new approach of variational iteration method
    Fadhel, Fadhel S.
    Altaie, Huda Omran
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2021, 12 (02): : 1633 - 1640
  • [4] Novel approximate solution for fractional differential equations by the optimal variational iteration method
    Ibraheem, Ghada H.
    Turkyilmazoglu, Mustafa
    AL-Jawary, M. A.
    JOURNAL OF COMPUTATIONAL SCIENCE, 2022, 64
  • [5] An Approximation to the Solution of Telegraph Equation by Variational Iteration Method
    Biazar, J.
    Ebrahimi, H.
    Ayati, Z.
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2009, 25 (04) : 797 - 801
  • [6] He's Variational Iteration Method for Solving a Partial Differential Equation Arising in Modelling of the Water Waves
    Saadatmandi, Abbas
    Dehghan, Mehdi
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2009, 64 (12): : 783 - 787
  • [7] Variational iteration method for Bratu-like equation arising in electrospinning
    He, Ji-Huan
    Kong, Hai-Yan
    Chen, Rou-Xi
    Hu, Ming-sheng
    Chen, Qiao-ling
    CARBOHYDRATE POLYMERS, 2014, 105 : 229 - 230
  • [8] Analytical Solution Of The Black-Scholes Equation By Using Variational Iteration Method
    Rouhparvar, Hamid
    Salamatbakhsh, Mehdi
    APPLIED MATHEMATICS E-NOTES, 2013, 13 : 243 - 248
  • [9] APPROXIMATE ANALYTIC SOLUTION OF THE FRACTAL FISHER?S EQUATION VIA LOCAL FRACTIONAL VARIATIONAL ITERATION METHOD
    Sun, Jian-She
    THERMAL SCIENCE, 2022, 26 (03): : 2699 - 2705
  • [10] Solution of random ordinary differential equations using Laplace variational iteration method
    Fadhel, Fadhel S.
    Abdulsahib, Ali A.
    Abid, Salah H.
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2021, Forum-Editrice Universitaria Udinese SRL (46): : 71 - 81
12345