TY - JFULL AU - M. Abdulkawi and Z. K. Eshkuvatov and N. M. A. Nik Long PY - 2009/10/ TI - A Note on the Numerical Solution of Singular Integral Equations of Cauchy Type T2 - International Journal of Mathematical and Computational Sciences SP - 682 EP - 686 VL - 3 SN - 1307-6892 UR - https://publications.waset.org/pdf/10339 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 33, 2009 N2 - This manuscript presents a method for the numerical solution of the Cauchy type singular integral equations of the first kind, over a finite segment which is bounded at the end points of the finite segment. The Chebyshev polynomials of the second kind with the corresponding weight function have been used to approximate the density function. The force function is approximated by using the Chebyshev polynomials of the first kind. It is shown that the numerical solution of characteristic singular integral equation is identical with the exact solution, when the force function is a cubic function. Moreover, it also shown that this numerical method gives exact solution for other singular integral equations with degenerate kernels. ER -