Journal of Applied Mathematics
- J. Appl. Math.
- Volume 2013 (2013), Article ID 795015, 7 pages.
A New Modification of Adomian Decomposition Method for Volterra Integral Equations of the Second Kind
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.
J. Appl. Math., Volume 2013 (2013), Article ID 795015, 7 pages.
First available in Project Euclid: 14 March 2014
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Xie, Lie-jun. A New Modification of Adomian Decomposition Method for Volterra Integral Equations of the Second Kind. J. Appl. Math. 2013 (2013), Article ID 795015, 7 pages. doi:10.1155/2013/795015. https://projecteuclid.org/euclid.jam/1394808209