Abstract: A new method of approximate solution of singular integral equations with application of Chebyshev series is offered. Decomposition coefficients are determined by means
of the solution of systems of simple algebraic equations. A justification of the constructed computational scheme is given and error estimate is deduced. The method is illustrated by test examples.
Keywords: singular integral, Chebyshev series, approximation of integral, error estimation, orthogonal polynomial, coefficient of expansion.
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