On convergence of quadrature-differences method for linear singular integro-differential equations on the interval

A. I. Fedotov

Archivum Mathematicum (2001)

  • Volume: 037, Issue: 4, page 257-271
  • ISSN: 0044-8753

Abstract

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Here we propose and justify the quadrature-differences method for the full linear singular integro-differential equations with Cauchy kernel on the interval ( - 1 , 1 ) . We consider equations of zero, positive and negative indices. It is shown, that the method converges to exact solution and the error estimate depends on the sharpness of derivative approximation and the smoothness of the coefficients and the right-hand side of the equation.

How to cite

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Fedotov, A. I.. "On convergence of quadrature-differences method for linear singular integro-differential equations on the interval." Archivum Mathematicum 037.4 (2001): 257-271. <http://eudml.org/doc/248744>.

@article{Fedotov2001,
abstract = {Here we propose and justify the quadrature-differences method for the full linear singular integro-differential equations with Cauchy kernel on the interval $(-1,1)$. We consider equations of zero, positive and negative indices. It is shown, that the method converges to exact solution and the error estimate depends on the sharpness of derivative approximation and the smoothness of the coefficients and the right-hand side of the equation.},
author = {Fedotov, A. I.},
journal = {Archivum Mathematicum},
keywords = {singular integro-differential equations; quadrature-differences method; singular integro-differential equations; quadrature-differences method},
language = {eng},
number = {4},
pages = {257-271},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On convergence of quadrature-differences method for linear singular integro-differential equations on the interval},
url = {http://eudml.org/doc/248744},
volume = {037},
year = {2001},
}

TY - JOUR
AU - Fedotov, A. I.
TI - On convergence of quadrature-differences method for linear singular integro-differential equations on the interval
JO - Archivum Mathematicum
PY - 2001
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 037
IS - 4
SP - 257
EP - 271
AB - Here we propose and justify the quadrature-differences method for the full linear singular integro-differential equations with Cauchy kernel on the interval $(-1,1)$. We consider equations of zero, positive and negative indices. It is shown, that the method converges to exact solution and the error estimate depends on the sharpness of derivative approximation and the smoothness of the coefficients and the right-hand side of the equation.
LA - eng
KW - singular integro-differential equations; quadrature-differences method; singular integro-differential equations; quadrature-differences method
UR - http://eudml.org/doc/248744
ER -

References

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