An Automatic Quadrature Schemes and Error Estimates for Semibounded Weighted Hadamard Type Hypersingular Integrals
Joint Authors
Asri Nik Long, Nik Mohd
Bichi, Sirajo Lawan
Eshkuvatov, Z. K.
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-12-01
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The approximate solutions for the semibounded Hadamard type hypersingular integrals (HSIs) for smooth density function are investigated.
The automatic quadrature schemes (AQSs) are constructed by approximating the density function using the third and fourth kinds of Chebyshev polynomials.
Error estimates for the semibounded solutions are obtained in the class of h(t)∈CN,α[-1,1].
Numerical results for the obtained quadrature schemes revealed that the proposed methods are highly accurate when the density function h (t) is any polynomial or rational functions.
The results are in line with the theoretical findings.
American Psychological Association (APA)
Bichi, Sirajo Lawan& Eshkuvatov, Z. K.& Asri Nik Long, Nik Mohd. 2014. An Automatic Quadrature Schemes and Error Estimates for Semibounded Weighted Hadamard Type Hypersingular Integrals. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1033732
Modern Language Association (MLA)
Bichi, Sirajo Lawan…[et al.]. An Automatic Quadrature Schemes and Error Estimates for Semibounded Weighted Hadamard Type Hypersingular Integrals. Abstract and Applied Analysis No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-1033732
American Medical Association (AMA)
Bichi, Sirajo Lawan& Eshkuvatov, Z. K.& Asri Nik Long, Nik Mohd. An Automatic Quadrature Schemes and Error Estimates for Semibounded Weighted Hadamard Type Hypersingular Integrals. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1033732
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033732