Quadrature formula for evaluating left bounded Hadamard type hypersingular integrals

• Main Authors: Bichi, Sirajo Lawan, Eshkuvatov, Zainidin K., Nik Long, Nik Mohd Asri, Okhunov, Abdurahim
• Format: Conference or Workshop Item
• Language: English
• Published: AIP Publishing LLC 2014
• Online Access: http://psasir.upm.edu.my/id/eprint/35124/1/Quadrature%20formula%20for%20evaluating%20left%20bounded%20Hadamard%20type%20hypersingular%20integrals.pdf; http://psasir.upm.edu.my/id/eprint/35124/

Left semi-bounded Hadamard type Hypersingular integral (HSI) of the form H(h,x)=1/π1+x/1-x λ-1∗∗1 1-t/1+t h(t)(t-x)2dt,x∈(-1.1), Where h(t) is a smooth function is considered. The automatic quadrature scheme (AQS) is constructed by approximating the density function h(t) by the truncated Chebyshev p...