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A Novel Iterative Scheme and Its Application to Differential Equations
Joint Authors
Khan, Yasir
Naeem, F.
Šmarda, Zdenĕk
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-16
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
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.
American Psychological Association (APA)
Khan, Yasir& Naeem, F.& Šmarda, Zdenĕk. 2014. A Novel Iterative Scheme and Its Application to Differential Equations. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-4.
https://search.emarefa.net/detail/BIM-1050307
Modern Language Association (MLA)
Khan, Yasir…[et al.]. A Novel Iterative Scheme and Its Application to Differential Equations. The Scientific World Journal No. 2014 (2014), pp.1-4.
https://search.emarefa.net/detail/BIM-1050307
American Medical Association (AMA)
Khan, Yasir& Naeem, F.& Šmarda, Zdenĕk. A Novel Iterative Scheme and Its Application to Differential Equations. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-4.
https://search.emarefa.net/detail/BIM-1050307
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1050307