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Solving singular integral equations via (0,2,3) lacunary interpolation

Published online by Cambridge University Press:  17 April 2009

Ezio Venturino
Ezio Venturino
Affiliation:
Department of Mathematics, University of Iowa, Iowa City, Iowa 52242, United States of America.
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Abstract

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A modified product rule method for solving Cauchy-type singular integral equations is proposed. It is based on interpolating the unknown and some of its higher derivatives at any prespecified points. At these nodes the value of the unknown can be calculated directly by solving the discretized linear system. No need of further interpolatory formulae arises, as is the case with other quadrature methods.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 36 , Issue 2 , October 1987 , pp. 239 - 249
Copyright
Copyright © Australian Mathematical Society 1987

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