Citation
Bichi, Sirajo Lawan and Eshkuvatov, Zainidin K. and Nik Long, Nik Mohd Asri and Okhunov, Abdurahim
(2014)
Quadrature formula for evaluating left bounded Hadamard type hypersingular integrals.
In: 3rd International Conference on Quantitative Sciences and Its Applications (ICOQSIA 2014), 12–14 Aug. 2014, Langkawi, Kedah. (pp. 395-402).
Abstract
Left semi-bounded Hadamard type Hypersingular integral (HSI) of the form H(h,x)=1/π1+x/1-x λ-1∗∗1 1-t/1+t h(t)(t-x)2dt,x∈(-1.1), Where h(t) is a smooth function is considered. The automatic quadrature scheme (AQS) is constructed by approximating the density function h(t) by the truncated Chebyshev polynomials of the fourth kind. Numerical results revealed that the proposed AQS is highly accurate when h(t) is choosing to be the polynomial and rational functions. The results are in line with the theoretical findings.
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Additional Metadata
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1063/1.4903613 |
| Publisher: | AIP Publishing LLC |
| Keywords: | AQS; Chebyshev polynomials; Hypersingular integral; Left semi-bounded |
| Depositing User: | Nurul Ainie Mokhtar |
| Date Deposited: | 11 Oct 2016 02:41 |
| Last Modified: | 11 Oct 2016 02:41 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4903613 |
| URI: | http://psasir.upm.edu.my/id/eprint/35124 |
| Statistic Details: | View Download Statistic |
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