Geodesic
AN EFFICIENT APPLICATIONS OF HES VARIATIONAL ITERATION METHOD BASED ON A RELIABLE MODIFICATION OF ADOMIAN ALGORITHM FOR NONLINEAR BOUNDARY VALUE PROBLEMS
GOLBABAI, A.1 ; SAYEVAND, K.1
1 School of Mathematics, Iran University of Science and Technology, Narmak, P. O. BOX 16844, Tehran, Iran
Journal of nonlinear sciences and its applications, Tome 3 (2010) no. 2, p. 152-156.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, the He's variational iteration method (VIM) based on a reliable modification of Adomian algorithm has been used to obtain solutions of the nonlinear boundary value problems (BVP). Comparison of the result obtained by the present method with that obtained by Adomian method [A. M.Wazwaz, Found Phys. Lett. 13 (2000) 493 and G. L. Liu, Modern Mathematical and Mechanics, (1995) 643 ] reveals that the present method is very effective and convenient.
DOI : 10.22436/jnsa.003.02.08
Classification : 37K40, 76B25
Keywords: Adomian polynomials, Boundary value problems, Variational iteration method.

GOLBABAI, A. 1 ; SAYEVAND, K. 1

1 School of Mathematics, Iran University of Science and Technology, Narmak, P. O. BOX 16844, Tehran, Iran 
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GOLBABAI, A.; SAYEVAND, K. AN EFFICIENT APPLICATIONS OF HES VARIATIONAL ITERATION METHOD BASED ON A RELIABLE MODIFICATION OF ADOMIAN ALGORITHM FOR NONLINEAR BOUNDARY VALUE PROBLEMS. Journal of nonlinear sciences and its applications, Tome 3 (2010) no. 2, p. 152-156. doi : 10.22436/jnsa.003.02.08. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.003.02.08/

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