Abstract
In this work we present a numerical solution for singular integral equations of the first kind on the oriented smooth contour with Cauchy type kernel. For this one we use an adapted quadratic approximation constructed by the author for this goal, based on the Simpson rule. Many examples are treated in order to prove the efficiency of this approximation. AMS Subject Classification (2000). 45D05, 45E05, 45L05, 45L10 and 65R20
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