Maryam Derakhshan - epartment of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, ۵۶۱۹۹-۱۱۳۶۷, Ardabil, Iran.
Mohammad Zarebnia - epartment of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, ۵۶۱۹۹-۱۱۳۶۷, Ardabil, Iran.

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.

SPline, Quasi-interpolant, Quadrature, Hammerstein, Convergence