AN EFFICIENT APPLICATIONS OF HES VARIATIONAL ITERATION METHOD BASED ON A RELIABLE MODIFICATION OF ADOMIAN ALGORITHM FOR NONLINEAR BOUNDARY VALUE PROBLEMS
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Authors
A. GOLBABAI
- School of Mathematics, Iran University of Science and Technology, Narmak, P. O. BOX 16844, Tehran, Iran.
K. SAYEVAND
- School of Mathematics, Iran University of Science and Technology, Narmak, P. O. BOX 16844, Tehran, Iran.
Abstract
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.
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ISRP Style
A. GOLBABAI, K. SAYEVAND, 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 Applications, 3 (2010), no. 2, 152 - 156
AMA Style
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. J. Nonlinear Sci. Appl. (2010); 3(2):152 - 156
Chicago/Turabian Style
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 Applications, 3, no. 2 (2010): 152 - 156
Keywords
- Adomian polynomials
- Boundary value problems
- Variational iteration method.
MSC
References
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