International Journal of Differential Equations

Convergence of the New Iterative Method

Sachin Bhalekar and Varsha Daftardar-Gejji

Full-text: Open access

Abstract

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.

Article information

Source
Int. J. Differ. Equ., Volume 2011 (2011), Article ID 989065, 10 pages.

Dates
Received: 7 May 2011
Accepted: 21 August 2011
First available in Project Euclid: 25 January 2017

Permanent link to this document
https://projecteuclid.org/euclid.ijde/1485313259

Digital Object Identifier
doi:10.1155/2011/989065

Mathematical Reviews number (MathSciNet)
MR2854946

Zentralblatt MATH identifier
1239.34014

Citation

Bhalekar, Sachin; Daftardar-Gejji, Varsha. Convergence of the New Iterative Method. Int. J. Differ. Equ. 2011 (2011), Article ID 989065, 10 pages. doi:10.1155/2011/989065. https://projecteuclid.org/euclid.ijde/1485313259


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