عنوان المقالة: Solving system of nonlinear integral equations by Newton-Kantorovich method
د.حميد حسام حميد | Hameed Husam Hameed | 5739
نوع النشر
مؤتمر علمي
المؤلفون بالعربي
حميد حسام حميد
المؤلفون بالإنجليزي
Hameed Husam Hameed, Z. K. Eshkuvatov, Z. Muminov, and Adem Kilicman
الملخص الانجليزي
Newton-Kantorovich method is applied to obtain an approximate solution for a system of nonlinear Volterra integral equations which describes a large class of problems in ecology, economics, medicine and other fields. The system of nonlinear integral equations is reduced to find the roots of nonlinear integral operator. This nonlinear integral operator is solved by the Newton-Kantorovich method with initial guess and this procedure is continued by iteration method to find the unknown functions. Finally, numerical examples are provided to show the validity and the efficiency of the method presented
تاريخ النشر
17/02/2015
الناشر
AIP Conference Proceedings
رقم المجلد
رقم العدد
رابط DOI
https://doi.org/10.1063/1.4887642
الصفحات
518-523
رابط الملف
تحميل (142 مرات التحميل)
رابط خارجي
https://aip.scitation.org/doi/10.1063/1.4887642
الكلمات المفتاحية
Newton-Kantorovich method, nonlinear operator, Volterra integral equation.
رجوع