A numerical method for functional Hammerstein integro-differential equations

Leila Saeedi | Abolfazl Marzabad

---

URL :   http://research.shahed.ac.ir/WSR/WebPages/Report/PaperView.aspx?PaperID=85729
Date :  2018/06/20
Publish in :    Applications and Applied Mathematics: An International Journal

Link :  http://pvamu.edu/aam
Keywords :numerical, Hammerstein, integro-differential, equations

Abstract :

---

In this paper, a numerical method is presented to solve functional Hammerstein integro-differential equations. The presented method combines the successive approximations method with trapezoidal quadrature rule and natural cubic spline interpolation to solve the mentioned equations. The existence and uniqueness of the problem is also investigated. The convergence and numerical stability of the problem are proved, and finally, the accuracy of the method is verified by presenting some numerical computations.