Convergence of approximate solution of mixed Hammerstein type integral equations

Monireh Nosrati Sahlan

Abstract


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.

Keywords


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

Full Text:

PDF


DOI: http://dx.doi.org/10.5269/bspm.v38i2.38043



Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

 

Resultado de imagem para CC BY