عنوان المقالة: On the Solution of Multi-Dimensional Nonlinear Integral Equation with Modified Newton Method
د.حميد حسام حميد | Hameed Husam Hameed | 5556
نوع النشر
مجلة علمية
المؤلفون بالعربي
حميد حسام حميد
المؤلفون بالإنجليزي
Hameed Husam Hameed, Z. K. Eshkuvatov, and N. M. A. Nik Long
الملخص الانجليزي
In this note, multi-dimensional nonlinear integral equations (multi-dimensional NIEs) in Rn is considered. Implementing modified Newton method (Modified NM) reduces multi-dimensional NIEs into multi-dimensional linear integral equations (multi-dimensional LIEs), which can be solved by discritization method. Quadrature method together with collocation are used to find values of unknown functions. Existence and uniqueness solution of the problems are shown. The rate of convergence of the proposed method is proved using the principle of majorant function. Finally, numerical examples are provided and it reveals that proposed method is both accurate and effective as well as comparisons with other methods are also presented
تاريخ النشر
15/11/2017
رقم المجلد
14
رقم العدد
11
ISSN/ISBN
1546-1955
رابط DOI
https://doi.org/10.1166/jctn.2017.6938
الصفحات
5298-5303
رابط الملف
تحميل (0 مرات التحميل)
رابط خارجي
https://www.ingentaconnect.com/contentone/asp/jctn/2017/00000014/00000011/art00021?crawler=true&mimetype=application/pdf
الكلمات المفتاحية
The Modified Newton Method, Nonlinear Multi-Dimensional Integral Equations, Quadrature Formula, The Majorant Function
رجوع