On error estimation of automatic quadrature scheme for the evaluation of Hadamard integral of second order singularity.

On error estimation of automatic quadrature scheme for the evaluation of Hadamard integral of second order singularity.

This paper presents an automatic quadrature scheme (AQS) for the evaluation of hypersingular integrals (HSI) Qi(f, x) = ∫-1 1 wi(t)f(t)/(t - x)2 dt, x ∈ [-1, 1], i = 0, 1, 2, (1) where w0(t) = 1, w1(t) = √1 - t2, w2(t) = √1/1-t2 are the weights, and the given function f imperative to have certain sm...

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Bibliographic Details
Main Authors: Obaiys, Suzan J., Eshkuvatov, Zainidin K., Nik Long, Nik Mohd Asri
Format: Article
Language:English
Published: Politechnica University of Bucharest 2013
Online Access:http://psasir.upm.edu.my/id/eprint/30242/

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