عنوان المقالة: Three-Dimensional Nonlinear Integral Operator with the Modelling of Majorant Function
د.حميد حسام حميد | Hameed Husam Hameed | 5712
- نوع النشر
- مجلة علمية
- المؤلفون بالعربي
- حميد حسام حميد
- المؤلفون بالإنجليزي
- Hameed Husam Hameed and Hayder M Al-Saedi
- الملخص الانجليزي
- In this paper, the process for finding an approximate solution of nonlinear three-dimensional (3D)Volterra type integral operator equation (N3D-VIOE) in R3 is introduced. The modelling of the majorant function (MF) with the modified Newton method (MNM) is employed to convert N3D-VIOE to the linear 3D Volterra type integral operator equation (L3D-VIOE). The method of trapezoidal rule (TR) and collocation points are utilized to determine the approximate solution of L3D-VIOE by dealing with the linear form of the algebraic system. The existence of the approximate solution and its uniqueness are proved, and illustrative examples are provided to show the accuracy and efficiency of the model
- تاريخ النشر
- 11/01/2021
- الناشر
- Baghdad Science Journal
- رقم المجلد
- 18
- رقم العدد
- 2
- ISSN/ISBN
- 2078-8665
- رابط DOI
- https://doi.org/10.21123/bsj.2021.18.2.0296
- الصفحات
- 296-305
- رابط الملف
- تحميل (0 مرات التحميل)
- رابط خارجي
- https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4619
- الكلمات المفتاحية
- Majorant function, Modified Newton method, Non-linear integral operator, Three-dimensional Nonlinear Integral Operator, Three-dimensional Trapezoidal rule method.