A collocation method for solving singular integro-differential equations

dc.creatorNAGAMINE, Andre
dc.creatorCUMINATO, Jose Alberto
dc.date.accessioned2012-10-20T03:34:44Z
dc.date.accessioned2018-07-04T15:38:34Z
dc.date.available2012-10-20T03:34:44Z
dc.date.available2018-07-04T15:38:34Z
dc.date.created2012-10-20T03:34:44Z
dc.date.issued2010
dc.identifierBIT NUMERICAL MATHEMATICS, v.50, n.3, p.657-688, 2010
dc.identifier0006-3835
dc.identifierhttp://producao.usp.br/handle/BDPI/28911
dc.identifier10.1007/s10543-010-0268-2
dc.identifierhttp://dx.doi.org/10.1007/s10543-010-0268-2
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1625553
dc.description.abstractThis paper describes a collocation method for numerically solving Cauchy-type linear singular integro-differential equations. The numerical method is based on the transformation of the integro-differential equation into an integral equation, and then applying a collocation method to solve the latter. The collocation points are chosen as the Chebyshev nodes. Uniform convergence of the resulting method is then discussed. Numerical examples are presented and solved by the numerical techniques.
dc.languageeng
dc.publisherSPRINGER
dc.relationBit Numerical Mathematics
dc.rightsCopyright SPRINGER
dc.rightsrestrictedAccess
dc.subjectIntegro-differential equation
dc.subjectCollocation method
dc.subjectCauchy singular integral-equation
dc.titleA collocation method for solving singular integro-differential equations
dc.typeArtículos de revistas


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