Search

MiS Preprint Repository

Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.

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