Numerical solution of a singular integral equation with the help of Gauss-Jacobi quadrature formula

Numerical solution of sıngular integral equations with the help of Gauss-Jacobi, Gauss-Radau-Jacobi, Gauss-Lobatto-Jacobi quadrature formulas is handled.This study consists of five chapters. It is aimed give the numerical results of Singular Integral Equations with the help of Gauss-Jacobi formulas in a linear system.In the first chapter, the literature summary about the studies made on the Sıngular Integral Equations was given.In the second chapter, Singular Integral Equations were described, Cauchy type singular equations were held and index concept was explained.In the third chapter, information about the Jacobi Polynomials and Gauss-Jacobi Quadrature Formulas was given and the convergence of this formulas are mentioned.In the fourth chapter, numerical solutions of Singular Integral Equations is shown by reducing their to system of linear equations via Gauss-Jacobi formulas and in the last chapter numerical results of numerical examples are given, and this results are shown in a table for more clear explanation.