Direct Taylor-series solution of singular integral equations with MAPLE

Loading...
Thumbnail Image

Date

1992-10

Authors

Ioakimidis, Nikolaos
Anastasselos, Georgios

Journal Title

Journal ISSN

Volume Title

Publisher

Pergamon Press

Abstract

Cauchy-type SIEs (singular integral equations) appear quite frequently in a variety of elasticity problems and, mainly, in crack problems. Here we extend the classical direct numerical methods for the approximate solution of these equations to the SAN (semi-analytical/numerical) environment offered by modern CASes (computer algebra systems). The idea is simply to use Taylor–Maclaurin series in the approximate SAN solution and to reduce the problem to a purely numerical set of systems of linear equations. The approach is illustrated in the classical Lobatto–Chebyshev method with an application to the problem of a periodic array of collinear cracks. Extensive displayed SAN results for the stress intensity factors show the convergence and efficiency of the proposed SAN approach. The cases of other direct methods for SIEs are also directly applicable.

Description

Keywords

Citation