عنوان المقالة: Solving system of nonlinear integral equations by Newton-Kantorovich method
د.حميد حسام حميد | Hameed Husam Hameed | 5719
- 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.