Some approximate algorithms for variational problems

Dissertant

Abd al-Ilah, Asma K.

Thesis advisor

Shihab, Suha Najib

University

University of Technology

Faculty

-

Department

Applied Sciences Department

University Country

Iraq

Degree

Master

Degree Date

2012

English Abstract

This thesis presents a number of algorithms for the approximate solution of variational problems based on first and second Chebyshev wavelets.

The convergence of second.

Chebyshev wavelets are first discussed.

Then some new relations between first and second Chebyshev wavelets are derived.

The proposed algorithms to find extremum value of variational problem are based on using Euler-Lagrange equation.

To facilitate the computation, a new property is derived called operational matrix of derivative.

Using the operational matrices of derivative and integration, for first and second Chebyshev wavelets.

The problem is converted to solving a system of algebraic equation.

All algorithms are tested on a variety of problems.

Main Subjects

Mathematics

• APA
• MLA
• AMA

Language

English

Data Type

Arab Theses

Record ID

BIM-419862