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...
| Main Authors: | , , , |
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| Format: | Proceeding Paper |
| Language: | English |
| Published: |
American Institute of Physics
2014
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/40773/ http://irep.iium.edu.my/40773/1/AIP_Conference_Proceeding_August_2014.pdf |
| _version_ | 1848782008613863424 |
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| 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 |
| building | IIUM Repository |
| collection | Online Access |
| 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.
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| first_indexed | 2025-11-14T15:58:38Z |
| format | Proceeding Paper |
| id | iium-40773 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:58:38Z |
| publishDate | 2014 |
| publisher | American Institute of Physics |
| recordtype | eprints |
| repository_type | Digital Repository |
| 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 Proceeding Paper 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 |
| 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 |
| title | 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_short | Quadrature formula for evaluating left bounded Hadamard type hypersingular integrals |
| title_sort | quadrature formula for evaluating left bounded hadamard type hypersingular integrals |
| topic | QA Mathematics |
| 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 |