Convergence of the New Iterative Method

A new iterative method introduced by Daftardar-Gejji and Jafari (2006) (DJ Method) is an efficient technique to solve nonlinear functional equations. In the present paper, sufficiency conditions for convergence of DJM have been presented. Further equivalence of DJM and Adomian decomposition method i...

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Main Authors: Sachin Bhalekar, Varsha Daftardar-Gejji
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2011/989065
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author Sachin Bhalekar
Varsha Daftardar-Gejji
author_facet Sachin Bhalekar
Varsha Daftardar-Gejji
author_sort Sachin Bhalekar
collection DOAJ
description A new iterative method introduced by Daftardar-Gejji and Jafari (2006) (DJ Method) is an efficient technique to solve nonlinear functional equations. In the present paper, sufficiency conditions for convergence of DJM have been presented. Further equivalence of DJM and Adomian decomposition method is established.
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institution Kabale University
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language English
publishDate 2011-01-01
publisher Wiley
record_format Article
series International Journal of Differential Equations
spelling doaj-art-af1c32b9a08a4a519c3944370dcf07a72025-02-03T06:11:44ZengWileyInternational Journal of Differential Equations1687-96431687-96512011-01-01201110.1155/2011/989065989065Convergence of the New Iterative MethodSachin Bhalekar0Varsha Daftardar-Gejji1Department of Mathematics, Shivaji University, Kolhapur 416004, IndiaDepartment of Mathematics, University of Pune, Pune 411007, IndiaA new iterative method introduced by Daftardar-Gejji and Jafari (2006) (DJ Method) is an efficient technique to solve nonlinear functional equations. In the present paper, sufficiency conditions for convergence of DJM have been presented. Further equivalence of DJM and Adomian decomposition method is established.http://dx.doi.org/10.1155/2011/989065
spellingShingle Sachin Bhalekar
Varsha Daftardar-Gejji
Convergence of the New Iterative Method
International Journal of Differential Equations
title Convergence of the New Iterative Method
title_full Convergence of the New Iterative Method
title_fullStr Convergence of the New Iterative Method
title_full_unstemmed Convergence of the New Iterative Method
title_short Convergence of the New Iterative Method
title_sort convergence of the new iterative method
url http://dx.doi.org/10.1155/2011/989065
work_keys_str_mv AT sachinbhalekar convergenceofthenewiterativemethod
AT varshadaftardargejji convergenceofthenewiterativemethod