Rational Chebyshev Collocation Method for Solving Higher-Order Linear Ordinary Differential Equations

Abstract

A collocation method to find an approximate solution of higher-order linear ordinary differential equation with variable coefficients under the mixed conditions is proposed. This method is based on the rational Chebyshev (RC) Tau method and Taylor-Chebyshev collocation methods. The solution is obtained in terms of RC functions. Also, illustrative examples are included to demonstrate the validity and applicability of the technique, and performed on the computer using a program written in maple9. (C) 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 1130-1142, 2011