The variational iteration method for solving systems of equations of Emden–Fowler type
- 12 August 2011
- journal article
- research article
- Published by Taylor & Francis in International Journal of Computer Mathematics
- Vol. 88 (16) , 3406-3415
Abstract
In this paper, the variational iteration method (VIM) is used to study systems of linear and nonlinear equations of Emden–Fowler type arising in astrophysics. The VIM overcomes the singularity at the origin and the nonlinearity phenomenon. The Lagrange multipliers for all cases of the parameter α,α>0, are determined. The work is supported by examining specific systems of two or three Emden–Fowler equations where the convergence of the results is emphasized.Keywords
This publication has 14 references indexed in Scilit:
- First integrals for a generalized coupled Lane–Emden systemNonlinear Analysis: Real World Applications, 2010
- He’s variational iteration method for treating nonlinear singular boundary value problemsComputers & Mathematics with Applications, 2010
- An approximation algorithm for the solution of the nonlinear Lane–Emden type equations arising in astrophysics using Hermite functions collocation methodComputer Physics Communications, 2010
- Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane–Emden typeJournal of Computational Physics, 2009
- Solution of the generalized Emden–Fowler equations by the hybrid functions methodPhysica Scripta, 2009
- Approximate solution of a differential equation arising in astrophysics using the variational iteration methodNew Astronomy, 2008
- Solutions of singular IVPs of Lane–Emden type by homotopy perturbation methodPhysics Letters A, 2007
- Analytical solution for the time-dependent Emden–Fowler type of equations by Adomian decomposition methodApplied Mathematics and Computation, 2005
- Adomian decomposition method for a reliable treatment of the Emden–Fowler equationApplied Mathematics and Computation, 2005
- A new algorithm for solving differential equations of Lane–Emden typeApplied Mathematics and Computation, 2001