Convergence of approximate solution of nonlinear Fredholm–Hammerstein integral equations

In this paper, we propose the cubic semiorthogonal compactly supported B-spline wavelets as a basis functions for solution of nonlinear Fredholm–Hammerstein integral equations of the second kind. Properties of these wavelets and some operational matrices are first presented. These properties are the...

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Bibliographic Details
Published in:Communications in nonlinear science & numerical simulation 2010-06, Vol.15 (6), p.1432-1443
Main Authors: Maleknejad, K., Nouri, K., Sahlan, M. Nosrati
Format: Article
Language:English
Subjects:
Cubic B-spline wavelets
Nonlinear Fredholm–Hammerstein integral equations
Operational matrices
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Summary:In this paper, we propose the cubic semiorthogonal compactly supported B-spline wavelets as a basis functions for solution of nonlinear Fredholm–Hammerstein integral equations of the second kind. Properties of these wavelets and some operational matrices are first presented. These properties are then used to reduce integral equations to some algebraic equations. The exponential convergence rate of the method, O ( 2 - 4 j ) , is proved. The method is computationally attractive, and applications are demonstrated through illustrative examples.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2009.06.014