Chebyshev Polynomial Solutions of Certain Second Order Non-Linear Differential Equations

Authors : Cenk KESAN

Pages : 739-745

View : 18 | Download : 16

Publication Date : 2011-02-01

Article Type : Other Papers

Abstract :The purpose of this study is to give a Chebyshev polynomial approximation for the solution of second-order non-linear differential equations with variable coefficients. For this purpose, Chebyshev matrix method is introduced. This method is based on taking the truncated Chebyshev expansions of the functions in the non-linear differential equations. Hence, the result matrix equation can be solved and the unknown Chebyshev coefficients can be found approximately. Additionally, the mentioned method is illustrated by two examples.                   Key Words : Non-linear differential equations, Chebyshev-                matrix method, Approximate solution of                non-linear                   ordinary differential equations.  
Keywords : Non linear differential equations, Chebyshev matrix method, Approximate solution of non linear