An accurate spline polynomial cubature formula for double integration with logarithmic singularity

An accurate spline polynomial cubature formula for double integration with logarithmic singularity

The paper studied the integration of logarithmic singularity problem J(ӯ) = ∫∫Δζ(ӯ)log|ӯ - ӯ 0∗|dA, where ӯ=(α,β), y0=(α0,β0) the domain Δ is rectangle Δ = [r1, r2] × [r3, r4], the arbitrary point ӯ ϵ Δ and the fixed point ӯ0 ϵ Δ. The given density function ζ(ӯ), is smooth on the rectangular domain...

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Bibliographic Details
Main Authors: Bichi, Sirajo Lawan, Eshkuvatov, Zainidin K., Nik Long, Nik Mohd Asri, Bello, M. Y.
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing 2016
Online Access:http://psasir.upm.edu.my/id/eprint/57194/
http://psasir.upm.edu.my/id/eprint/57194/1/An%20accurate%20spline%20polynomial%20cubature%20formula%20for%20double%20integration%20with%20logarithmic%20singularity.pdf

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