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In this paper, the He's variational iteration method (VIM) based on a reliable modiflcation of Adomian algorithm has been used to obtain so- lutions 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 Math- ematical and Mechanics, (1995) 643 ) reveals that the present method is very efiective and convenient.

journal of nonlinear sciences and applications./journal of nonlinear sciences and  applications.

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