247
Views
22
CrossRef citations to date
0
Altmetric
Section B

The variational iteration method for solving systems of equations of Emden–Fowler type

Pages 3406-3415 | Received 08 Feb 2011, Accepted 08 May 2011, Published online: 12 Aug 2011

References

  • Adomian , G. , Rach , R. and Shawagfeh , N. T. 1995 . On the analytic solution of Lane–Emden equation . Found. Phys. Lett , 8 ( 2 ) : 161 – 181 .
  • Chandrasekhar , S. 1967 . Introduction to the Study of Stellar Structure , New York : Dover Publications .
  • Davis , H. T. 1962 . Introduction to Nonlinear Differential and Integral Equations , New York : Dover Publications .
  • Dehghan , M. and Shakeri , F. 2008 . Approximate solution of a differential equation arising in astrophysics using the variational iteration method . New Astron. , 13 : 53 – 59 .
  • He , J. H. 1998 . A variational iteration approach to nonlinear problems and its applications . Mech. Appl , 20 ( 1 ) : 30 – 31 .
  • Muatjetjeja , R. and Khalique , C. M. 2011 . First integrals for a generalized coupled Lane–Emden system . Nonlinear Anal. Real World Appl. , 12 : 1202 – 1212 .
  • Parand , K. , Shahini , M. and Dehghan , M. 2009 . Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane–Emden type . J. Comput. Phys. , 228 : 8830 – 8840 .
  • Parand , K. , Dehghan , M. , Rezaeia , A. R. and Ghaderi , S. M. 2010 . An approximation algorithm for the solution of the nonlinear Lane–Emden type equations arising in astrophysics using Hermite functions collocation method . Comput. Phys. Comm. , 181 : 1096 – 1108 .
  • Ravi Kanth , A. S.V. and Aruna , K. 2010 . He's variational iteration method for treating nonlinear singular boundary value problems . Comput. Math. Appl. , 60 : 821 – 829 .
  • Richardson , O. U. 1921 . The Emission of Electricity from Hot Bodies , London : Longmans Green and Company .
  • Tabriziodooz , H. , Marzban , H. and Razzaghi , M. 2009 . Solution of the generalized Emden–Fowler equations by the hybrid functions method . Phys. Scripta , 80 : 025001
  • Wazwaz , A. M. 2001 . A new method for solving differential equations of the Lane–Emden type . Appl. Math. Comput. , 118 ( 2/3 ) : 287 – 310 .
  • Wazwaz , A. M. 2002 . A new method for solving singular initial value problems in the second order ordinary differential equations . Appl. Math. Comput. , 128 : 47 – 57 .
  • Wazwaz , A. M. 2005 . Adomian decomposition method for a reliable treatment of the Emden–Fowler equation . Appl. Math. Comput. , 161 : 543 – 560 .
  • Wazwaz , A. M. 2005 . Analytical solution for the time-dependent Emden–Fowler type of equations by Adomian decomposition method . Appl. Math. Comput. , 166 : 638 – 651 .
  • Wazwaz , A. M. 2009 . Partial Differential Equations and Solitary Waves Theory , Beijing and Berlin : HEP and Springer .
  • Yildirim , A. and Ozis , T. 2007 . Solutions of singular IVPs of Lane–Emden type by homotopy perturbation method . Phys. Lett. A , 369 : 70 – 76 .
  • Yildirim , A. and Ozis , T. 2009 . Solutions of singular IVPs of Lane–Emden type by the variational iteration method . Nonlinear Anal. , 70 : 2480 – 2484 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.