UPM Institutional Repository

Construction of cubature formula for double integration with algebraic singularity by spline polynomial


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.


Download File

[img]
Preview
PDF (Abstract)
Construction of cubature formula for double integration with algebraic singularity by spline polynomial.pdf

Download (48kB) | Preview
Official URL or Download Paper: http://ieeexplore.ieee.org/document/7357052/

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

Actions (login required)

View Item View Item