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

Theory of Approximation and Applications

مقاله 7، دوره 16، شماره 1، مرداد 2022، صفحه 51-58   

نوع مقاله: Research Articles

نویسندگان

Nooshin Pashmakian¹؛ Ali Farajzadeh²؛ Nouredin Parandin^{* 3}

¹Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran

²Department of Mathematics, Razi University, Kermanshah 67149, Iran

³Faculty of Science, Islamic Azad University, Kermanshah, Iran

چکیده

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

کلیدواژه‌ها

Fredholm integral equations؛ Finite differences method؛ Numerical method