Quadrature formula for evaluating left bounded Hadamard type hypersingular integrals

Bichia, Sirajo Lawan and Eshkuvatova, Z.K. and Nik Longa, N.M.A. and Okhunov, Abdurahim (2014) Quadrature formula for evaluating left bounded Hadamard type hypersingular integrals. In: International Conference on Quantitative Sciences and Its Applications (ICOQSIA 2014), 12-14 August 2014, Langkawi, Kedah.

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Abstract

Left semi-bounded Hadamard type Hypersingular integral (HSI) of the form , 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.

Item Type:	Conference or Workshop Item (Full Paper)
Additional Information:	6825/40773 (ISBN: 978-0-7354-1274-3)
Uncontrolled Keywords:	Chebyshev polynomials, Hypersingular integral, AQS, Left semi-bounded.
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Engineering > Department of Science
Depositing User:	Dr. Abdurahim Okhunov
Date Deposited:	27 Jan 2015 16:33
Last Modified:	08 Jul 2015 10:32
URI:	http://irep.iium.edu.my/id/eprint/40773

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