Numerical treatments of the multi¬dimensional integral equations

Dissertant

Hasan, Ruwaydah Hazim

Thesis advisor

Salman, Shadha A.
Khalili, Ahlam J.

University

University of Technology

Faculty

-

Department

Applied Sciences Department

University Country

Iraq

Degree

Ph.D.

Degree Date

2010

English Abstract

The main aim of this work is to give turtheT studies for the multi-dimensional integral equations.

This work includes ihe following aspecte; 1.

Discuss the existence of the unique solution for special types of the multidimensional integral equations, namely the multi-dimensional Volterra non-linear integral equations of the second kind via Picard iterative procedure and Banach fixed point theorem - 2.

Devote the multi-dimensional differential transform for functions of multiple independent variables with some of its properties.

3.

Solve special types of the multi-dimensional VoLterra non-linear integral equations of the second kind via the multi-dimensional differential transform method.

4.

Apply the homotopy perturbation method for solving special types of the multidimensional Vokerra non-linear integral equations of the second kind.

Main Subjects

Mathematics

Topics

American Psychological Association (APA)

Hasan, Ruwaydah Hazim. (2010). Numerical treatments of the multi¬dimensional integral equations. (Doctoral dissertations Theses and Dissertations Master). University of Technology, Iraq
https://search.emarefa.net/detail/BIM-305281

Modern Language Association (MLA)

Hasan, Ruwaydah Hazim. Numerical treatments of the multi¬dimensional integral equations. (Doctoral dissertations Theses and Dissertations Master). University of Technology. (2010).
https://search.emarefa.net/detail/BIM-305281

American Medical Association (AMA)

Hasan, Ruwaydah Hazim. (2010). Numerical treatments of the multi¬dimensional integral equations. (Doctoral dissertations Theses and Dissertations Master). University of Technology, Iraq
https://search.emarefa.net/detail/BIM-305281

Language

English

Data Type

Arab Theses

Record ID

BIM-305281