محمد السيد أحمد حسن نصر
مدرس
Study of the Normality and Continuity for the Mixed Integral Equations with Phase-Lag Term
International Journal of Mathematical Analysis • 2017
معلومات البحث
المؤلفون
M. A. Abdou; M. E. Nasr; M. A. Abdel-Aty
الكلمات المفتاحية
Fredholm-Volterra integral equations, Mixed integral equation, Linear system of Fredholm integral equations, Continuous kernel, Trapezoidal Rule, Phase-Lag
المجلة العلمية
International Journal of Mathematical Analysis
الناشر
HIKARI Ltd
المجلد
11
العدد
16
الصفحات
13
publication.type
International
رابط البحث
Open Link
المواد المرفقة
Not Available
الملخص
In this paper, the existence and uniqueness solution of the FredholmVolterra integral equations (F-VIEs) are considered in the space L2[0; 1]×
Cn[0; T]; 0 ≤ T < 1. Using a numerical technique, F-VIEs lead to a system of linear Fredholm integral equations (SLFIEs). Also, the normality
and the continuity of integral operator are discussed. The Trapezoidal
Rule is used to get the solution of SLFIEs. Finally, numerical results
are discussed and the error estimate is computed.
Cn[0; T]; 0 ≤ T < 1. Using a numerical technique, F-VIEs lead to a system of linear Fredholm integral equations (SLFIEs). Also, the normality
and the continuity of integral operator are discussed. The Trapezoidal
Rule is used to get the solution of SLFIEs. Finally, numerical results
are discussed and the error estimate is computed.