236
Views
2
CrossRef citations to date
0
Altmetric
Section B

Adomian decomposition method by Gegenbauer and Jacobi polynomials

&
Pages 3666-3676 | Received 29 Mar 2010, Accepted 02 Aug 2011, Published online: 19 Sep 2011

References

  • Adomian , G. 1988 . A review of the decomposition method in applied mathematics . J. Math. Anal. Appl , 135 : 501 – 544 .
  • Adomian , G. 1994 . Solving Frontier Problems of Physics: The Decomposition Method , Boston, MA : Kluwer .
  • Adomian , G. and Rach , R. 1996 . Modified Adomian polynomials . Math. Comput. Model , 24 : 39 – 46 .
  • Babolian , E. and Javadi , Sh. 2003 . Restarted Adomian method for algebraic equations . Appl. Math. Comput , 146 ( 2–3 ) : 533 – 541 .
  • Babolian , E. , Javadi , Sh. and Sadeghi , H. 2004 . Restarted Adomian method for integral equations . Appl. Math. Comput , 153 ( 2 ) : 353 – 359 .
  • Cherruault , Y. 1989 . Convergence of Adomians method . Kybernetes , 18 : 31 – 38 .
  • Evans , D. J. and Raslan , K. R. 2004 . The Adomian decomposition method for solving delay differential equation . Int. J. Comput. Math , 81 : 979 – 989 .
  • Ghorbani , A. 2009 . Beyond Adomian polynomials: He polynomials . Chaos Solitons Fractals , 39 : 1486 – 1492 .
  • Ghorbani , A. and Nadjafi , J. S. 2007 . He's homotopy perturbation method for calculating Adomian polynomials . Int. J. Nonlinear Sci. Numer. Simul , 8 : 229 – 232 .
  • Hashim , I. , Noorani , M. S.M. and Said Al-Hadidi , M. R. 2006 . Solving the generalized Burgers–Huxley equation using the Adomian decomposition method . Math. Comput. Model , 43 : 1404 – 1411 .
  • Hazewinkel , M. 2001 . Encyclopaedia of Mathematics , Dordrecht : Kluwer Academic Publishers . Supplement Volume III
  • Hosseini , M. M. 2006 . Adomian decomposition method with Chebyshev polynomials . Appl. Math. Comput , 175 : 1685 – 1693 .
  • Hosseini , M. M. and Jafari , M. 2009 . An efficient method for solving nonlinear singular initial value problems . Int. J. Comput. Math , 86 : 1657 – 1666 .
  • Inc , M. 2005 . Decomposition method for solving parabolic equations in finite domains . J. Zhejiang Univ. Sci , 10 : 1058 – 1064 .
  • Liu , Y. 2009 . Adomian decomposition method with orthogonal polynomials: Legendre polynomials . Math. Comput. Model , 49 : 1268 – 1273 .
  • Seng , V. , Abbaoui , K. and Cherruault , Y. 1996 . Adomian's polynomials for nonlinear operators . Math. Comput. Model , 24 : 59 – 65 .
  • Tien , W. C. and Chen , C. K. 2009 . Adomian decomposition method by Legendre polynomials . Chaos Solitons Fractals , 39 : 2093 – 2101 .
  • Wazwaz , A. M. 1999 . A reliable modification of Adomian decomposition method . Appl. Math. Comput , 102 : 77 – 86 .
  • Wazwaz , A. M. and El-Sayed , S. M. 2001 . A new modification of the Adomian decomposition method for linear and nonlinear operators . Appl. Math. Comput , 122 : 393 – 405 .

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.