A Novel Iterative Scheme and Its Application to Differential Equations. (16th March 2014)

• Record Type: Journal Article
• Authors: Khan, Yasir; Naeem, F.; Šmarda, Zdeněk
• Other Names: Jafari H. Academic Editor.; Khalique C. M. Academic Editor.
• Is Part Of: TheScientificWorldjournal. Volume 2014(2014)
• Publication Date: 2014-03-16
• Subjects: Science -- Periodicals; Technology -- Periodicals; Medicine -- Periodicals; 505
• DOI: 10.1155/2014/605376
• Languages: English
• ISSNs: 2356-6140

Abstract

Abstract : The purpose of this paper is to employ an alternative approach to reconstruct the standard variational iteration algorithm II proposed by He, including Lagrange multiplier, and to give a simpler formulation of Adomian decomposition and modified Adomian decomposition method in terms of newly proposed variational iteration method-II (VIM). Through careful investigation of the earlier variational iteration algorithm and Adomian decomposition method, we find unnecessary calculations for Lagrange multiplier and also repeated calculations involved in each iteration, respectively. Several examples are given to verify the reliability and efficiency of the method.