@article { author = {Derakhshan, Maryam and Zarebnia, Mohammad}, title = {On the numerical treatment and analysis of Hammerstein integral equation}, journal = {Computational Methods for Differential Equations}, volume = {9}, number = {2}, pages = {493-510}, year = {2021}, publisher = {University of Tabriz}, issn = {2345-3982}, eissn = {2383-2533}, doi = {10.22034/cmde.2019.29825.1435}, abstract = {In this paper, we study the quadratic rules for the numerical solution of Hammerstein integral equation based on spline quasi-interpolant. Also the convergence analysis of the methods are given. The theoretical behavior is tested on examples and it is shown that the numerical results confirm theoretical part.}, keywords = {SPline,Quasi-interpolant,Quadrature,Hammerstein,Convergence}, url = {https://cmde.tabrizu.ac.ir/article_10331.html}, eprint = {https://cmde.tabrizu.ac.ir/article_10331_816a1327f4cbe60319bde09568c7ce14.pdf} }