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Applied Mathematics and Computation
Article . 2007 . Peer-reviewed
License: Elsevier TDM
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A simplification to Fredholm’s solution to the Fredholm integral equation of the second kind

A simplification to Fredholm's solution to the Fredholm integral equation of the second kind
descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 2007 English Publisher:Elsevier BVJournal:Applied Mathematics and Computation, volume 189, pages 1,078-1,086 (issn: 0096-3003, Copyright policy )
Authors: Hollands, K. G. Terry;

doi: 10.1016/j.amc.2006.11.163

A simplification to Fredholm’s solution to the Fredholm integral equation of the second kind

Abstract

The authors provide a simplification of the solution of a Fredholm integral equation of the second kind in terms of a ratio of determinants. Combinatorial arguments allow a major simplification of Fredholm's solution formula, economizing in particular on the number of multiple integrals to evaluate. Numerical results are provided to illustrate the efficiency of the simplification.

Related Organizations
Keywords

Fredholm integral equations, Numerical methods for integral equations, numerical results, combinatoric applications

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
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