خوارزمية لحل النظام الخطي من المعادلات التكاملية والتكاملية التفاضلية من نوع فولتيرا عددياً باستخدام المويجة
Algorithm for Solving a Linear System of Volterra Integral and Integro-Differential Equations Numerically Using Wavelet
- الباحث
- حارث فواز حازم الحفوظي
- المشرف
- قيس اسماعيل ابراهيم
- الجامعة
- جامعة الموصل
- الكلية / القسم
- كلية التربية للعلوم الصرفة / قسم الرياضيات
- الشهادة
- ماجستير
- السنة
- 2022
- لغة الرسالة
- عربي
- الكلمات المفتاحية
- المعادلات التكاملية ; معادلات فولتيرا ; المويجات ; الحلول العددية
Abstract
In this thesis, the Haar wavelet method is used to find a numerical solution to the following integral equations: Volterra-type Linear Integral Equations, Volterra-type Linear Integrable Equations System, Volterra-type Linear Differential Integral Equations, Volterra-type Linear Integrative Equations, Integral Equations, Volterra-Unique System of Type Integral Equations. The solutions used in the solutions used in the solutions are examples of a system of linear differential equations of the first order, as well as three examples of linear Volterra-Fredholm integral equations and three examples of a system of linear Volterra-Fredholm equations and their results have been verified. The results showed that the proposed numerical method gave very reasonable results when compared with the exact solution, as the proposed numerical method was implemented using MATLAB. --- page 112 [OCR+] --- Algorithm for solving a linear system of integral and differential equations of a numerical type using wavelet A Thesis Submitted By Harith Fawaz Hazim Al Hafody To The Council of College of Education for Pure Sciences University of Mosul In Partial Fulfillment of Requirements for the Degree of M. Sc. In Mathematics Supervised by Asst. Prof. Dr. Kais Ismael Ibrahim 2022 A.D. 1444 A.H. [OCR of page] Algorithm for solving a linear system of integral and differential equations of a numerical type using wavelet A Thesis Submitted By Harith Fawaz Hazim Al Hafody To The Council of College of Education for Pure Sciences University of Mosul In Partial Fulfillment of Requirements for the Degree of M. Sc. In Mathematics Supervised by Asst. Prof. Dr. Kais Ismael Ibrahim 1444 A.H. 2022 A.D. --- page 113 [OCR+] --- University Of Mosul a College Of Education For Pure Science Algorithm for solving a linear system of integral and differential equations of a numerical type using wavelet Harith Fawaz Hazim Al Hafody M.Sc. Thesis In Mathematics Supervised by Asst. Prof. Dr. Kais Ismael Ibrahim 2022 A.D. 1444 A.H. [OCR of page] University Of Mosul (a) College Of Education IS) | aes For Pure Science Sires oe Mas Algorithm for solving a linear system of integral and differential equations of a numerical type using wavelet Harith Fawaz Hazim Al Hafody M.Sc. Thesis In Mathematics Supervised by Asst. Prof. Dr. Kais Ismael Ibrahim 1444 A.H. 2022 A.D.
طلب نسخة من الملف
الملفات غير منشورة على الموقع. اترك بياناتك وسيتواصل معك موظفو قسم الشؤون الثقافية والفنون لإرسال النسخة مجاناً.