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Research Article Open Access

Quadratic Approximation for Singular Integrals

Mostefa Nadir1
  • 1 University of Msila 28000, Algeria

Abstract

In this study we present a new approach based on a quadratic approximation for singular integrals of Cauchy type, by using a small technical we arrive to eliminate completely the singularity of this integral. Noting that, this approximation is destined to solve numerically all singular integral equations with Cauchy kernel type on an oriented smooth contour.

Journal of Mathematics and Statistics
Volume 8 No. 2, 2012, 292-295

DOI: https://doi.org/10.3844/jmssp.2012.292.295

Submitted On: 7 February 2012 Published On: 4 July 2012

How to Cite: Nadir, M. (2012). Quadratic Approximation for Singular Integrals. Journal of Mathematics and Statistics, 8(2), 292-295. https://doi.org/10.3844/jmssp.2012.292.295

Open AccessCopyright: © 2012 Mostefa Nadir. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Quadratic approximation
  • singular integral equations
  • oriented smooth contour
  • eliminate completely
  • quadratic method
  • singular integral operator