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.
رجوع