ISSN:
0945-3245
Keywords:
Mathematics Subject Classification (1991): 65R20, 45E99, 45L10
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary. The cruciform crack problem of elasticity gives rise to an integral equation of the second kind on [0,1] whose kernel has a fixed singularity at (0,0). We introduce a transformation of [0,1] onto itself such that an arbitrary number of derivatives vanish at the end points 0 and 1. If the transformed kernel is dominated near the origin by a Mellin kernel then we have given conditions under which the use of a modified Euler-Maclaurin quadrature rule and the Nyström method gives an approximate solution which converges to the exact solution of the original equation. The method is illustrated with a numerical example.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s002110050127
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