AN EFFICIENT APPLICATIONS OF HES VARIATIONAL ITERATION METHOD BASED ON A RELIABLE MODIFICATION OF ADOMIAN ALGORITHM FOR NONLINEAR BOUNDARY VALUE PROBLEMS


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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