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On convergence of two direct methods for solution of Cauchy type singular integral equations of the first kind
Authors:N I Ioakimidis  P S Theocaris
Institution:(1) Department of Theoretical and Applied Mechanics, The National Technical University of Athens, 5 K. Zographou Street, Zographou, Athens 624, Greece
Abstract:The methods for direct numerical solution of Cauchy type singular integral equations of the first kind based on Gauss-Chebyshev or Lobatto-Chebyshev numerical integration and the reduction of such an integral equation to a system of linear equations are proved to converge under appropriate conditions.
Keywords:
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