Solution of nonlinear Volterra-Hammerstein integral equations via rationalized Haar functions

Authors
Razzaghi, M Ordokhani, Y
Citation
M. Razzaghi et Y. Ordokhani, Solution of nonlinear Volterra-Hammerstein integral equations via rationalized Haar functions, MATH PROB E, 7(2), 2001, pp. 205-219
Citations number
27
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICAL PROBLEMS IN ENGINEERING
ISSN journal
1024123X → ACNP
Volume
7
Issue
2
Year of publication
2001
Pages
205 - 219
Database
ISI
SICI code
1024-123X(2001)7:2<205:SONVIE>2.0.ZU;2-G
Abstract
Rationalized Haar functions are developed to approximate the solutions of t he nonlinear Volterra-Hammerstein integral equations. Properties of Rationa lized Haar functions are first presented, and the operational matrix of int egration together with the product operational matrix are utilized to reduc e the computation of integral equations to into some algebraic equations. T he method is computationally attractive, and applications are demonstrated through illustrative examples.