Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

Approximate solution of dual integral equations

Document Type : Research Paper

Authors
Faculty of Mathematical Sciences‎, ‎University of Tabriz‎, ‎Tabriz‎, ‎Iran.
Abstract
‎We study dual integral equations which appear in formulation of the‎ ‎potential distribution of an electrified plate with mixed boundary‎ ‎conditions‎. ‎These equations will be converted to a system of‎ ‎singular integral equations with Cauchy type kernels‎. ‎Using‎ ‎Chebyshev polynomials‎, ‎we propose a method to approximate the‎ ‎solution of Cauchy type singular integral equation which will be‎ ‎used to approximate the solution of the main dual integral‎ ‎equations‎. ‎Numerical results demonstrate effectiveness of this method.
Keywords
Subjects

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Volume 42, Issue 5 - Serial Number 5
October 2016
Pages 1077-1086

  • Receive Date 28 January 2015
  • Revise Date 20 June 2015
  • Accept Date 23 June 2015