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Shannon Wavelets for the Solution of Integrodifferential Equations
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-04-11
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
Shannon wavelets are used to define a method for the solution of integrodifferential equations.
This method is based on (1) the Galerking method, (2) the Shannon wavelet representation, (3) the decorrelation of the generalized Shannon sampling theorem, and (4) the definition of connection coefficients.
The Shannon sampling theorem is considered in a more general approach suitable for analysing functions ranging in multifrequency bands.
This generalization coincides with the Shannon wavelet reconstruction of L2(ℝ) functions.
Shannon wavelets are C∞-functions and their any order derivatives can be analytically defined by some kind of a finite hypergeometric series (connection coefficients).
American Psychological Association (APA)
Cattani, Carlo. 2010. Shannon Wavelets for the Solution of Integrodifferential Equations. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-22.
https://search.emarefa.net/detail/BIM-469791
Modern Language Association (MLA)
Cattani, Carlo. Shannon Wavelets for the Solution of Integrodifferential Equations. Mathematical Problems in Engineering No. 2010 (2010), pp.1-22.
https://search.emarefa.net/detail/BIM-469791
American Medical Association (AMA)
Cattani, Carlo. Shannon Wavelets for the Solution of Integrodifferential Equations. Mathematical Problems in Engineering. 2010. Vol. 2010, no. 2010, pp.1-22.
https://search.emarefa.net/detail/BIM-469791
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-469791