Abstract:
The computation schemes of collocation and mechanical quadrature methods for approximate solving of the complete singular integral equations with piecewise continuous coefficients and a regular kernel with weak singularity are elaborated. The case when the equations are defined on the unit circumference of the complex plane is examined. The sufficient conditions for the convergence of these methods in the space $L_2$ are obtained.
Keywords and phrases:singular integral equations; piecewise continuous, coefficients; collocation method; quadrature method.
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