An iterative method for solving Fredholm integral equations of the first kind
by Sapto W. Indratno, A.G. Ramm
International Journal of Computing Science and Mathematics (IJCSM), Vol. 2, No. 4, 2009

Abstract: The purpose of this paper is to give a convergence analysis of the iterative scheme: uδn = quδn−1 + (1 − q)T−1an K* fδ, uδ0 = 0, where T := K*K, Ta := T + aI, q ∈ (0, 1), an := α0qn, α0 > 0, with finite-dimensional approximations of T and K* for solving stably Fredholm integral equations of the first kind with noisy data.

Online publication date: Mon, 11-Jan-2010

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