4.7 Article

Expansion method for linear integral equations by cardinal B-spline wavelet and Shannon wavelet as bases for obtain Galerkin system

Journal

APPLIED MATHEMATICS AND COMPUTATION
Volume 175, Issue 1, Pages 347-355

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2005.07.059

Keywords

integral equations; Cardinal Spline Wavelet; Shannon wavelet; Galerkin system

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In this paper, we apply the B-spline and Shannon wavelets bases for approximation the solution of linear integral equations of the second kind, then by this wavelet bases we construct Galerkin system, which is important the expansion methods in solving linear integral equations. At the end, For showing efficiency of this method, we use numerical examples. (c) 2005 Elsevier Inc. All rights reserved.

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