Title
Chebyshev polynomial solutions of systems of linear integral equations
Abstract
A Chebyshev collocation method has been presented to solve systems of linear integral equations in terms of Chebyshev polynomials. This method transforms the integral system into the matrix equation with the help of Chebyshev collocation points and the unknown of this equation is a Chebyshev coefficient matrix. They are easily acquired by using the last matrix equation, which corresponds to the system of linear algebraic equations. As a result, the finite Chebyshev series approach is obtained.
Year
DOI
Venue
2004
10.1016/S0096-3003(03)00334-5
Applied Mathematics and Computation
Keywords
Field
DocType
systems of fredholm and volterra integral equations,chebyshev polynomials and series,volterra integral equation,integrable system,integral equation,collocation method,chebyshev polynomial,matrix equation,linear algebra
Chebyshev polynomials,Chebyshev nodes,Chebyshev pseudospectral method,Mathematical optimization,Coefficient matrix,Mathematical analysis,Chebyshev equation,Equioscillation theorem,Chebyshev filter,Mathematics,Chebyshev iteration
Journal
Volume
Issue
ISSN
151
1
Applied Mathematics and Computation
Citations 
PageRank 
References 
9
0.96
2
Authors
1
Name
Order
Citations
PageRank
Ayşegül Akyüz-Daşcıoǧlu1494.30