Citation
Bichi, Sirajo Lawan and Eshkuvatov, Zainidin K. and Nik Long, Nik Mohd Asri
(2014)
An automatic quadrature schemes and error estimates for semibounded weighted Hadamard type hypersingular integrals.
Abstract and Applied Analysis, 2014.
art. no. 387246.
pp. 1-13.
ISSN 1085-3375; ESSN: 1687-0409
Abstract
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,a [-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.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1155/2014/387246 |
| Publisher: | Hindawi Publishing Corporation |
| Keywords: | Hadamard type hypersingular integrals (HSIs); Automatic quadrature schemes (AQSs) |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 24 Jun 2015 05:42 |
| Last Modified: | 19 Oct 2017 06:13 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2014/387246 |
| URI: | http://psasir.upm.edu.my/id/eprint/36396 |
| Statistic Details: | View Download Statistic |
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