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A New Modification of Adomian Decomposition Method for Volterra Integral Equations of the Second Kind
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-14
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Xie, Lie-jun. 2013. A New Modification of Adomian Decomposition Method for Volterra Integral Equations of the Second Kind. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-498725
Modern Language Association (MLA)
Xie, Lie-jun. A New Modification of Adomian Decomposition Method for Volterra Integral Equations of the Second Kind. Journal of Applied Mathematics No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-498725
American Medical Association (AMA)
Xie, Lie-jun. A New Modification of Adomian Decomposition Method for Volterra Integral Equations of the Second Kind. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-498725
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-498725