Uniform convergence of the rectangle method for singular integral equation with the Hölder density |
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Authors: | M E Abramyan |
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Institution: | 1.Southern Federal University,Rostov-on-Don,Russia |
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Abstract: | We study an approximate method for solving singular integral equations. It implies an approximation of a singular operator
by means of a compound quadrature formula similar to the rectangle one. The corresponding systems of linear algebraic equations
are solvable if so is the integral equation, while its coefficients satisfy the strong ellipticity condition. Under these
restrictions we obtain a bound for the rate of convergence of solutions of systems of linear equations to the solution of
the considered integral equation in the uniform vector norm. |
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Keywords: | |
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