Title of article :
Exact Solutions for Chebyshev Equations by using the Asymptotic Iteration Method
Author/Authors :
SOUS, A. J. , AL-HAWARI, M. Al-jouf University - Department of Mathematics, Saudi Arabia
Abstract :
The asymptotic iteration method is used in order to solve the Chebyshev differential equations, and to reproduce the Chebyshev polynomials T n ( x ), U n ( x ) of the first and second kinds respectively. It is shown that the asymptotic iteration method is valid for any degree n.
Keywords :
Exact Solutions , Chebyshev Equations , Asymptotic Iteration Method
Journal title :
Journal of Applied Sciences and Environmental Management
Journal title :
Journal of Applied Sciences and Environmental Management