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

• 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/

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...