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An algorithm for the approximate solution of integral equations of Mellin type


Elliott, D and Prossdorf, S, An algorithm for the approximate solution of integral equations of Mellin type, Numerische Mathematik, 70, (4) pp. 427-452. ISSN 0029-599X (1995) [Refereed Article]

DOI: doi:10.1007/s002110050127


The cruciform crack problem ofelasticity gives rise to an integral equation of the secondkind 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 numberof derivatives vanish at theend points 0 and 1. If the transformed kernelis dominated near the origin by a Mellin kernel then we have given conditions under which the use of amodified Euler-Maclaurin quadrature rule and theNyström method gives an approximate solutionwhich converges to the exact solution of theoriginal equation. The method is illustrated with a numerical example. © 1995, Springer-Verlag Berlin Heidelberg. All rights reserved.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Numerical and computational mathematics
Research Field:Numerical analysis
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Elliott, D (Professor David Elliott)
UTAS Author:Prossdorf, S (Mr Prossdorf)
ID Code:4164
Year Published:1995
Web of Science® Times Cited:25
Deposited By:Mathematics
Deposited On:1995-08-01
Last Modified:2011-08-22

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