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A Rationalized Haar Functions Method for Nonlinear Fredholm-hammerstein Integral Equations 

Authors: M. Razzaghi; Y. Ordokhani a
Affiliation:   a Department of Mathematics and Statistics Mississippi State University, Mississippi State, MS 39762.
DOI: 10.1080/00207160211932
Publication Frequency: 15 issues per year
Published in: journal International Journal of Computer Mathematics, Volume 79, Issue 3 2002 , pages 333 - 343
Number of References: 16
Formats available: PDF (English)
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Abstract

In this paper rationalized Haar functions are developed to approximate the solutions of the nonlinear Fredholm-Hammerstein integral equations. Properties of rationalized Haar functions are first presented, and the operational matrix of the product of two rationalized Haar functions vector is 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.
Keywords: Integral Equations; Haar Functions; Fredholm-Hammerstein; Nonlinear
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