Numerical solution of linear Fredholm integral equations using sine-cosine wavelets

Author:  

Publisher: Taylor & Francis Ltd

ISSN: 0020-7160

Source: International Journal of Computer Mathematics, Vol.84, Iss.7, 2007-07, pp. : 979-987

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Abstract

If we divide the interval [0,1] into N sub-intervals, then sine-cosine wavelets on each sub-interval can approximate any function. This ability helps us to obtain a more accurate approximation of piecewise continuous functions, and, hence, we can obtain more accurate solutions of integral equations. In this article we use a combination of sine-cosine wavelets on the interval [0,1] to solve linear integral equations. We convert the integral equation into a system of linear equations. Numerical examples are given to demonstrate the applicability of the proposed method.