Solution of nonlinear Fredholm-Hammerstein integral equations by using semiorthogonal spline wavelets

Mathematical Problems in Engineering, Jul 2018

Compactly supported linear semiorthogonal B-spline wavelets together with their dual wavelets are developed to approximate the solutions of nonlinear Fredholm-Hammerstein integral equations. Properties of these wavelets are first presented; these properties are then utilized to reduce the computation of integral equations to some algebraic equations. The method is computationally attractive, and applications are demonstrated through an illustrative example.

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Solution of nonlinear Fredholm-Hammerstein integral equations by using semiorthogonal spline wavelets

Solution of nonlinear Fredholm-Hammerstein integral equations by using semiorthogonal spline wavelets M. Lakestani,1 M. Razzaghi,1,2 and M. Dehghan1 1Department of Applied Mathematics, Amirkabir University of Technology, Tehran 15914, Iran 2Department of Mathematics and Statistics, Mississippi State University, 39762, MS, USA Received 16 June 2004 Copyright © 2005 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract Compactly supported linear semiorthogonal B-spline wavelets together with their dual wavelets are developed to approximate the solutions of nonlinear Fredholm-Hammerstein integral equations. Properties of these wavelets are first presented; these properties are then utilized to reduce the computation of integral equations to some algebraic equations. The method is computationally attractive, and applications are demonstrated through an illustrative example.


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M. Lakestani, M. Razzaghi, M. Dehghan. Solution of nonlinear Fredholm-Hammerstein integral equations by using semiorthogonal spline wavelets, Mathematical Problems in Engineering, DOI: 10.1155/MPE.2005.113