Solution of nonlinear Fredholm‐Hammerstein integral equations by using semiorthogonal spline wavelets | Zendy

Mehrdad Lakestani | Zendy; Mohsen Razzaghi | Zendy; Mehdi Dehghan | Zendy

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

Author(s) -

Mehrdad Lakestani,

Mohsen Razzaghi,

Mehdi Dehghan

Publication year - 2005

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/mpe.2005.113

Subject(s) - nonlinear system , mathematics , wavelet , spline (mechanical) , mathematical analysis , pure mathematics , algebra over a field , computer science , physics , engineering , structural engineering , artificial intelligence , quantum mechanics

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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