An Application Method for the Solution of Second Order Non Linear Ordinary Differential Equations by Chebyshev Polynomials

Research Article
An Application Method for the Solution of Second Order Non Linear Ordinary Differential Equations by Chebyshev Polynomials

Asian Journal of Applied Sciences, 2011, 4(3), 255-262.

Abstract

This study presents the application of collocation methods for the solution of second order nonlinear ordinary differential equations. Newtion’s linearization scheme is used to linearize the non-linear problems and the linearized problem leads to the use of iterations. Two collocation methods used in this study are standard and perturbed collocation by chebyshev polynomials. Numerical computations are carried out to illustrate the application of the methods and also, the methods are compared in terms of accuracy and computational cost.

ASCI-ID: 61-128

Cited References Fulltext

Cited By

Operational Tau Approximation for Neutral Delay Differential Systems

Journal of Applied Sciences, 2011, 11(14), 2585. DOI: 10.3923/jas.2011.2585.2591

Image Reconstruction Algorithm for Electrical Capacitance Tomography

Information Technology Journal, 2011, 10(8), 1614. DOI: 10.3923/itj.2011.1614.1619

The Effects of Capture Efficiency on the Coexistence of a Predator in a Two Predators-One Prey Model

Journal of Applied Sciences, 2011, 11(22), 3717. DOI: 10.3923/jas.2011.3717.3724