الفهرس 
Equivalence of kreins method for solvingOnly 14 pages are availabe for public view
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Abstract
The theory of integral equations has close contacts with many different areas of mathematics. In recent years the theory of singular integral equations has assumed various and increasing importance in applied problems.Many problems in the field of mathematical physics, viscodynamics fluid, the mixed boundary value problems in physics and engineering, also in astrophysics, can be formulated as an integral equation of the first or of the second kind with singular kernel.These different applications and areas lead the authors to establish different methods for solving the singular integral equations. These methods are: The singular integral equation method (Cauchy method), Potential theory method, Polynomials orthogonal method, Fourier transformation method and Krein7s method.At the same time, the sense of numerical methods played an important rule in solving the singular integral equation. For example: Collection method, El-Gendi method, Galerkin method, Fast method, Nestrom method,block by block method and Toeplitz matrix .