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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
90/2004

On Improvement of the Iterated Galerkin Solution of the Second Kind Integral Equations

Rekha Kulkarni

Abstract

For a second kind integral equation with a kernel which is less smooth along the diagonal, an approximate solution obtained by using a method proposed by the author in an earlier paper, is shown to have a higher rate of convergence than the iterated Galerkin method. The projection is chosen to be either the orthogonal projection or an interpolatory projection onto a space of piecewise polynomials. The size of the system of equations that needs to be solved, in order to compute the proposed solution, remains the same as in the Galerkin method. The improvement of the proposed solution is illustrated by a numerical example.

Received:
Dec 13, 2004
Published:
Dec 13, 2004
MSC Codes:
65R20
Keywords:
integral equation, galerkin method, collocation method

Related publications

inJournal
2005 Repository Open Access
Rekha P. Kulkarni

On improvement of the iterated Galerkin solution of the second kind integral equations

In: Journal of numerical mathematics, 13 (2005) 3, pp. 205-218