Citation
Bichi, Sirajo Lawan and Eshkuvatov, Zainidin K. and Nik Long, Nik Mohd Asri and Ismail, Fudziah
(2015)
Construction of cubature formula for double integration with algebraic singularity by spline polynomial.
In: 7th International Conference on Research and Education in Mathematics (ICREM7), 25-27 Aug. 2015, Renaissance Kuala Lumpur Hotel, Malaysia. (pp. 193-198).
Abstract
In this note, singular integration problems of the form Hα (h) = ∫Ω∫ h(x,y)/|-x0|2-α dA, 0 ≤ α ≤ 1, where Ω = [x0,y0] × [b1, b2], x= (x,y) ϵ Ω and fixed point x 0 = (x0,y0) ϵ Ω is considered. The density function h(x, y) is assumed given, continuous and smooth on the rectangle Ω and belong to the class of functions C2,α(Ω). Cubature formula for double integrals with algebraic singularity on a rectangle is constructed using the modified spline function SΩ(P) of type (0, 2). Highly accurate numerical results for the proposed method is given for both tested density function h(x, y) as linear, quadratic and absolute value functions. The results are in line with the theoretical findings.
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Official URL or Download Paper: http://ieeexplore.ieee.org/document/7357052/
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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/10.1109/ICREM.2015.7357052 |
| Publisher: | IEEE |
| Keywords: | Cubature formula; Double integration; Algebraic singularity; Spline polynomial |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 03 May 2017 04:13 |
| Last Modified: | 03 May 2017 04:13 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1109/ICREM.2015.7357052 |
| URI: | http://psasir.upm.edu.my/id/eprint/51899 |
| Statistic Details: | View Download Statistic |
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