Convergence of approximate solution of mixed Hammerstein type integral equations

Monireh Nosrati Sahlan


In the present paper, a computational method for solving nonlinear Volterra-Fredholm Hammerestein integral equations is proposed by using compactly supported semiorthogonal cubic B-spline wavelets as basis functions. Dual functions and Operational matrices of B-spline wavelets via Galerkin method are utilized to reduce the computation of integral equations to some algebraic system, where in the Galerkin method dual of B-spline wavelets are applied as weighting functions. The method is computationally attractive, and applications are demonstrated through illustrative examples.


Hammerstein integral equations; cubic B-spline wavelets; operational matrices; Galerkin method; Error analysis

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ISSN 0037-8712 (print) and ISSN 2175-1188 (on-line)


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