أعضاء هيئة التدريس - جامعة بنها
Analytical discussion for the mixed integral equations
Journal of Fixed Point Theory and Applications • 2018
معلومات البحث
المؤلفون
M. E. Nasr; M. A. Abdel-Aty
الكلمات المفتاحية
Banach space; Volterra–Fredholm integral equation; degenerate kernel method.
المجلة العلمية
Journal of Fixed Point Theory and Applications
الناشر
Springer International Publishing AG, part of Springer Nature 2018
المجلد
20
العدد
3
الصفحات
Not Available
publication.type
International
رابط البحث
Open Link
المواد المرفقة
Not Available
الملخص
This paper presents a numerical method for the solution of a
Volterra–Fredholm integral equation in a Banach space. Banachs fixed point theorem is used to prove the existence and uniqueness of the solution.
To find the numerical solution, the integral equation is reduced to
a system of linear Fredholm integral equations, which is then solved numerically using the degenerate kernel method. Normality and continuity of the integral operator are also discussed. The numerical examples in Sect. 5 illustrate the applicability of the theoretical results.
Volterra–Fredholm integral equation in a Banach space. Banachs fixed point theorem is used to prove the existence and uniqueness of the solution.
To find the numerical solution, the integral equation is reduced to
a system of linear Fredholm integral equations, which is then solved numerically using the degenerate kernel method. Normality and continuity of the integral operator are also discussed. The numerical examples in Sect. 5 illustrate the applicability of the theoretical results.