The stability of collocation methods for approximate solution of singular integro-differential equations

Authors:
Iurie Caraus;Nikos E. Mastorakis
Affiliations:
Katholieke Universiteit Leuven, Department of Computer Science, Leuven, Heverlee, Belgium;WSEAS, Athens, Greece
Venue:
WSEAS Transactions on Mathematics
Year:
2008

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Abstract

In this article we obtained that the collocation methods are stable in according with the small perturbations of coefficients, kernels and right part of studied equations. We proved that the condition number of the approximate operator exists and bounded. The condition number of collocation methods is appropriated with condition number for exact singular integro- differential equations.