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Approximate solution of integral equations with kernels of the form K(xt) based on a special basis of trigonometric functions

  • V. V. Smelov
Published/Copyright: June 10, 2009
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Russian Journal of Numerical Analysis and Mathematical Modelling
From the journal Volume 24 Issue 3

Abstract

A special basis based on trigonometric functions is proposed for solution of integral equations with kernels of the form K(xt) by the Galerkin method. This basis possesses high approximation quality and allows one to reduce the double integral in the Galerkin algorithm to a very simple single integration.

Published Online: 2009-06-10
Published in Print: 2009-May

© de Gruyter 2009

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