Some techniques for solving singular integral equations.

This thesis is oriented towards three objectives. The first one is to study and classify integral equations as well as singular integral equation. The second objective is to study the numerical methods for solving singular integral equations. The third objective is to introduce complex analysis methods to solve singular integral equations analytically whatever the singularity occurs in the in the kernel or in the limits of integration for each discussed example we write a computer program in Matlab v(6.1). The results obtained in this thesis are sophisticated in comparison with the other methods.