On the numerical treatment and analysis of Hammerstein integral equation

نویسندگان
Derakhshan, Maryam ID 1
Zarebnia, Mohammad ID 2

1 epartment of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, 56199-11367, Ardabil, Iran.

2 epartment of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, 56199-11367, Ardabil, Iran.

doi
10.22034/cmde.2019.29825.1435
چکیده

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.

کلیدواژه‌ها
SPline, Quasi-interpolant, Quadrature, Hammerstein, Convergence