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Approximate solution of a complete singular integral equation of the first kind with a fixed hypersingularity by the overlapping method

  • Numerical Methods. Finite-Difference Equations
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Abstract

We suggest a new method for the numerical solution of a singular integral equation of the first kind with a fixed hypersingularity, which arises in the problem on the flow past a profile with an ejector of the external flow. This method permits one to obtain a solution of the characteristic and complete integral equations with an interpolation degree of accuracy.

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Authors and Affiliations

  1. Air-Force Engineering Academy, Moscow, Russia

    A. F. Matveev & R. S. Belorozov

  2. 46th Central Research Institute of the Defense Ministry of the Russian Federation, Moscow, Russia

    A. F. Matveev & R. S. Belorozov

Authors
  1. A. F. Matveev
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  2. R. S. Belorozov
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Additional information

Original Russian Text © A.F. Matveev, R.S. Belorozov, 2008, published in Differentsial’nye Uravneniya, 2008, Vol. 44, no. 9, pp. 1281–1289.

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Matveev, A.F., Belorozov, R.S. Approximate solution of a complete singular integral equation of the first kind with a fixed hypersingularity by the overlapping method. Diff Equat 44, 1334–1342 (2008). https://doi.org/10.1134/S0012266108090139

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  • DOI: https://doi.org/10.1134/S0012266108090139

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