2025/11/28
Monire Nosrati Sahlan

Monire Nosrati Sahlan

Academic rank: Associate Professor
ORCID: 0000-0002-2241-7793
Education: PhD.
H-Index:
Faculty: Faculty of Basic Sciences
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E-mail: nosrati [at] ubonab.ac.ir
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Phone: 04137745000-1650
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Research

Title
Convergence of Approximate Solution of Mixed Hammerstein Type Integral Equations
Type
JournalPaper
Keywords
Hammerstein integral equations, Cubic B-spline wavelets, Operational matrices, Galerkin method, Error analysis
Year
2020
Journal Bulletin of Parana´s Mathematical Society, named Boletim da Sociedade Paranaense de Matematica
DOI
Researchers Monire Nosrati Sahlan

Abstract

In the present paper, a computational method for solving nonlinear Volterra-Fredholm Hammerstein 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.