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.