A modified approach to numerical solution of Fredholm integral equations of the second kind

Panda, Srikumar and Martha, SC and Chakrabarti, A (2015) A modified approach to numerical solution of Fredholm integral equations of the second kind. In: APPLIED MATHEMATICS AND COMPUTATION, 271 . pp. 102-112.

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Abstract

A modified approach to obtain approximate numerical solutions of Fredholin integral equations of the second kind is presented. The error bound is explained by the aid of several illustrative examples. In each example, the approximate solution is compared with the exact solution, wherever possible, and an excellent agreement is observed. In addition, the error bound in each example is compared with the one obtained by the Nystrom method. It is found that the error bound of the present method is smaller than the ones obtained by the Nystrom method. Further, the present method is successfully applied to derive the solution of an integral equation arising in a special Dirichlet problem. (C) 2015 Elsevier Inc. All rights reserved.

Item Type:	Journal Article
Publication:	APPLIED MATHEMATICS AND COMPUTATION
Publisher:	ELSEVIER SCIENCE INC
Additional Information:	Copy right for this article belongs to the ELSEVIER SCIENCE INC, 360 PARK AVE SOUTH, NEW YORK, NY 10010-1710 USA
Keywords:	Integral equation of second kind; Numerical solution; Dirichlet problem; Love's equation
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	10 Dec 2015 06:49
Last Modified:	10 Dec 2015 06:49
URI:	http://eprints.iisc.ac.in/id/eprint/52868

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