Chebyshev Series Methods for Solving Some Linear Problems

 
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.