Using the Finite Differences Method for the Fredholm Integral Equations of the Second Kind

Subject Areas : Applied Mathematics

Nooshin Pashmakian ¹ , Ali Farajzadeh ² , نورالدین پرندین ³

1 - Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran
2 - Department of Mathematics, Razi University, Kermanshah 67149, Iran
3 - دانشکده علوم دانشگاه آزاد کرمانشاه

Received: 2022-02-25 Accepted : 2022-01-19 Published : 2022-05-01

Keywords: Numerical Method, Fredholm integral equations, Finite differences method,

Abstract :

In this paper, we want to solve the Fredholm integral equations of the second type using thenumerical finite differences method. In this method, we use the forward, central and backwardoperator’s to solve integral equations, and finally we compare these methods with the help of nu-merical examples.