Chebyshev series methods for solving some linear problems. +CD

number: 
2134
English
Degree: 
Imprint: 
Mathematics and Computer Applications
Author: 
Noor Nabeel Mahmood Al-Qayssi
Supervisor: 
Dr. Ahlam Jameel Khaleel
year: 
2008

The main purpose of this work may be divided into the following aspects: 1. Study the Chebyshev polynomials of the first and second kinds defined on the intervals [0,1] and [-1,1] and modify some of their properties. 2. Use two methods to solve the linear ordinary differential equations with nonconstant coefficients, namely, Chebyshev-matrix method and Chebyshev series method. 3. Devote Chebyshev series method to solve system of linear Fredholm integral equations and integro-differential equations.