Quadrature formula for evaluating left bounded Hadamard type hypersingular integrals
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 p...
| Main Authors: | , , , |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing LLC
2014
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/35124/ http://psasir.upm.edu.my/id/eprint/35124/1/Quadrature%20formula%20for%20evaluating%20left%20bounded%20Hadamard%20type%20hypersingular%20integrals.pdf |
| _version_ | 1848847966709743616 |
|---|---|
| author | Bichi, Sirajo Lawan Eshkuvatov, Zainidin K. Nik Long, Nik Mohd Asri Okhunov, Abdurahim |
| author_facet | Bichi, Sirajo Lawan Eshkuvatov, Zainidin K. Nik Long, Nik Mohd Asri Okhunov, Abdurahim |
| author_sort | Bichi, Sirajo Lawan |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T09:27:00Z |
| format | Conference or Workshop Item |
| id | upm-35124 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T09:27:00Z |
| publishDate | 2014 |
| publisher | AIP Publishing LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-351242016-10-11T02:41:23Z http://psasir.upm.edu.my/id/eprint/35124/ Quadrature formula for evaluating left bounded Hadamard type hypersingular integrals Bichi, Sirajo Lawan Eshkuvatov, Zainidin K. Nik Long, Nik Mohd Asri Okhunov, Abdurahim 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. AIP Publishing LLC 2014 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/35124/1/Quadrature%20formula%20for%20evaluating%20left%20bounded%20Hadamard%20type%20hypersingular%20integrals.pdf 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). 10.1063/1.4903613 |
| spellingShingle | Bichi, Sirajo Lawan Eshkuvatov, Zainidin K. Nik Long, Nik Mohd Asri 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 |
| url | http://psasir.upm.edu.my/id/eprint/35124/ http://psasir.upm.edu.my/id/eprint/35124/ http://psasir.upm.edu.my/id/eprint/35124/1/Quadrature%20formula%20for%20evaluating%20left%20bounded%20Hadamard%20type%20hypersingular%20integrals.pdf |