Generalized Abel Inversion Using Extended Hat Functions Operational Matrix
Joint Authors
Tripathi, Manoj P.
Singh, Om P.
Pandey, Ram K.
Baranwal, Vipul K.
Source
International Journal of Analysis
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-19
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Abel type integral equations play a vital role in the study of compressible flows around axially symmetric bodies.
The relationship between emissivity and the measured intensity, as measured from the outside cylindrically symmetric, optically thin extended radiation source, is given by this equation as well.
The aim of the present paper is to propose a stable algorithm for the numerical inversion of the following generalized Abel integral equation: I(y)=a(y)∫αy((rμ-1ε(r))/(yμ-rμ)γ)dr+b(y)∫yβ((rμ-1ε(r)) /(rμ-yμ)γ)dr, α≤y≤β, 0<γ<1, using our newly constructed extended hat functions operational matrix of integration, and give an error analysis of the algorithm.
The earlier numerical inversions available for the above equation assumed either a(y)=0 or b(y)=0.
American Psychological Association (APA)
Tripathi, Manoj P.& Pandey, Ram K.& Baranwal, Vipul K.& Singh, Om P.. 2013. Generalized Abel Inversion Using Extended Hat Functions Operational Matrix. International Journal of Analysis،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-488442
Modern Language Association (MLA)
Tripathi, Manoj P.…[et al.]. Generalized Abel Inversion Using Extended Hat Functions Operational Matrix. International Journal of Analysis No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-488442
American Medical Association (AMA)
Tripathi, Manoj P.& Pandey, Ram K.& Baranwal, Vipul K.& Singh, Om P.. Generalized Abel Inversion Using Extended Hat Functions Operational Matrix. International Journal of Analysis. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-488442
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-488442