Some approximation methods for solving volterra-fredholm integral and integro-differential equations

مقدم أطروحة جامعية

al-Juburi, Abd al-Khaliq Uwayyid Mezaal

مشرف أطروحة جامعية

Jasim, Sahib Kahit

الجامعة

الجامعة التكنولوجية

الكلية

-

القسم الأكاديمي

قسم العلوم التطبيقية

دولة الجامعة

العراق

الدرجة العلمية

دكتوراه

تاريخ الدرجة العلمية

2010

الملخص الإنجليزي

The main purpose of this work is to study integral and integro-differential equations that contain two different types of integral operators, these equations named as Voltera-Fredholm integral and integro-differential equations.

This study includes the following aspects : (1) Discuss the existence and the uniqueness theorem of solution of solution of the non-linear Voltera-Fredholm integral and integro-differential equations of the second kind via Banach fixed point theorem (2) Gives some approximation methods for solving linear Voltera-Fredholm integral and integro-differential equations of the second kind, namely the expansion methods via Berne stain polynomials, Neumann series and the power series method.

(3) Uses the power series method to solve special types of non-linear Voltera-Fredholm integral and integro-differential equations of the second kind.

التخصصات الرئيسية

الرياضيات

الموضوعات

• المعادلات التفاضلية

• APA
• MLA
• AMA

لغة النص

الإنجليزية

نوع البيانات

رسائل جامعية

رقم السجل

BIM-305310