Geodesic
Approximate solution of a singular integral equation using Chebyshev series
Vladikavkazskij matematičeskij žurnal, Tome 18 (2016) no. 4, pp. 15-22

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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. 
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     author = {Z. V. Besaeva and Sh. S. Khubezhty},
     title = {Approximate solution of a singular integral equation using {Chebyshev} series},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
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Z. V. Besaeva; Sh. S. Khubezhty. Approximate solution of a singular integral equation using Chebyshev series. Vladikavkazskij matematičeskij žurnal, Tome 18 (2016) no. 4, pp. 15-22. http://geodesic.mathdoc.fr/item/VMJ_2016_18_4_a1/