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

Dissertant

al-Juburi, Abd al-Khaliq Uwayyid Mezaal

Thesis advisor

Jasim, Sahib Kahit

University

University of Technology

Faculty

-

Department

Applied Sciences Department

University Country

Iraq

Degree

Ph.D.

Degree Date

2010

English Abstract

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.

Main Subjects

Mathematics

Topics

• Differential equations

• APA
• MLA
• AMA

Language

English

Data Type

Arab Theses

Record ID

BIM-305310