Quadrature formula for evaluating left bounded Hadamard type hypersingular integrals

Quadrature formula for evaluating left bounded Hadamard type hypersingular integrals

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...

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Bibliographic Details
Main Authors: Bichia, Sirajo Lawan, Eshkuvatova, Z.K., Nik Longa, N.M.A., Okhunov, Abdurahim
Format: Conference or Workshop Item
Language:English
Published: American Institute of Physics 2014
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/40773/
http://irep.iium.edu.my/40773/
http://irep.iium.edu.my/40773/1/AIP_Conference_Proceeding_August_2014.pdf
id iium-40773
recordtype eprints
spelling iium-407732015-07-08T02:32:20Z http://irep.iium.edu.my/40773/ Quadrature formula for evaluating left bounded Hadamard type hypersingular integrals Bichia, Sirajo Lawan Eshkuvatova, Z.K. Nik Longa, N.M.A. Okhunov, Abdurahim QA Mathematics 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. American Institute of Physics 2014 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/40773/1/AIP_Conference_Proceeding_August_2014.pdf 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. http://dx.doi.org/10.1063/1.4903613
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA Mathematics
spellingShingle QA Mathematics
Bichia, Sirajo Lawan
Eshkuvatova, Z.K.
Nik Longa, N.M.A.
Okhunov, Abdurahim
Quadrature formula for evaluating left bounded Hadamard type hypersingular integrals
description 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.
format Conference or Workshop Item
author Bichia, Sirajo Lawan
Eshkuvatova, Z.K.
Nik Longa, N.M.A.
Okhunov, Abdurahim
author_facet Bichia, Sirajo Lawan
Eshkuvatova, Z.K.
Nik Longa, N.M.A.
Okhunov, Abdurahim
author_sort Bichia, Sirajo Lawan
title Quadrature formula for evaluating left bounded Hadamard type hypersingular integrals
title_short Quadrature formula for evaluating left bounded Hadamard type hypersingular integrals
title_full Quadrature formula for evaluating left bounded Hadamard type hypersingular integrals
title_fullStr Quadrature formula for evaluating left bounded Hadamard type hypersingular integrals
title_full_unstemmed Quadrature formula for evaluating left bounded Hadamard type hypersingular integrals
title_sort quadrature formula for evaluating left bounded hadamard type hypersingular integrals
publisher American Institute of Physics
publishDate 2014
url http://irep.iium.edu.my/40773/
http://irep.iium.edu.my/40773/
http://irep.iium.edu.my/40773/1/AIP_Conference_Proceeding_August_2014.pdf
first_indexed 2023-09-18T20:58:28Z
last_indexed 2023-09-18T20:58:28Z
_version_ 1777410463315787776

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