A study of linear singular and non-singular integral equation on aproximate solutions: Fracture mechanic

This thesis consists of five parts. In the first and second parts, the discovery of Integral equations, historical devolopment, some fundamental concepts and theorems which are going to be used in the following parts were explained. In the third part, type of Integral equations and their classification have been mentioned. In the fourth part, the analitic solving methods for only Fredholm and Volterra Integral equations were studied and each was explained by an example. In the last part, only approximation solution has been focused and also the application problems of the second type of singular Integral equations have been mentioned.