Open Access
Translator Disclaimer
2013 A New Modification of Adomian Decomposition Method for Volterra Integral Equations of the Second Kind
Lie-jun Xie
J. Appl. Math. 2013: 1-7 (2013). DOI: 10.1155/2013/795015

Abstract

We propose a new modification of the Adomian decomposition method for Volterra integral equations of the second kind. By the Taylor expansion of the components apart from the zeroth term of the Adomian series solution, this new technology overcomes the problems arising from the previous decomposition method. The validity and applicability of the new technique are illustrated through several linear and nonlinear equations by comparing with the standard decomposition method and the modified decomposition method. The results obtained indicate that the new modification is effective and promising.

Citation

Download Citation

Lie-jun Xie. "A New Modification of Adomian Decomposition Method for Volterra Integral Equations of the Second Kind." J. Appl. Math. 2013 1 - 7, 2013. https://doi.org/10.1155/2013/795015

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950875
MathSciNet: MR3127466
Digital Object Identifier: 10.1155/2013/795015

Rights: Copyright © 2013 Hindawi

JOURNAL ARTICLE
7 PAGES


SHARE
Vol.2013 • 2013
Back to Top