A Chebyshev polynomial based quadrature for hypersingular integrals

• Main Authors: Obaiys, Suzan J., Eshkuvatov, Zainidin K., Nik Long, Nik Mohd Asri
• Format: Conference or Workshop Item
• Language: English
• Published: American Institute of Physics 2011
• Online Access: http://psasir.upm.edu.my/id/eprint/27709/1/ID%2027709.pdf; http://psasir.upm.edu.my/id/eprint/27709/
• Institution: Universiti Putra Malaysia

This paper proposes an automatic quadrature scheme (AQS) for evaluating the hypersingular integrals with weight function w(t)=1 on the interval [0,1]. The density function f (x) is approximated by the shifted Chebyshev polynomials P∗N(t) of the first kind of degree N. AQS for Cauchy principle value...