پديدآورندگان :
Novin Reza reza_novin@ymail.com Department of mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran , Sadegi Zahra zahra.sadeghi.math@gmail.com Department of mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran. , Sohrabi Ziba sohrabiziba@yahoo.com Department of mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran.
چكيده فارسي :
The purpose of this paper is to provide 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. To do this, it will suffice to employ The Chebyshev polynomials of the second kind with
the corresponding weight function to approximate the density function. More specifically, the Chebyshev
polynomials of the first kind are good enough to be used for approximating the force function. Considering
force function as a cubic function, it can be concluded that the numerical solution of characteristic
singular integral equation does agree with the exact solution. Furthermore, grounded results reveal that
this numerical method is appreciated giving the exact solution for other singular integral equations with
degenerate kernels
