Solving Differential Equations by Using a Combination of the First Kind Chebyshev Polynomials and Adomian Decomposition Method

Subject Areas : International Journal of Mathematical Modelling & Computations

hasan  barzegar kelishami ¹ (Department of Mathematics‎, ‎Islamic Azad University‎, ‎Central Tehran Branch‎, ‎Tehran‎, ‎Iran)

Received: 2017-11-29 Accepted : 2018-08-14 Published : 2017-11-01

Keywords: Adomian decomposition method, Polynomials Chebyshev, Initial value problems, Best polynomial approximation,

Abstract :

In this paper, we are going to solve a class of ordinary differential equations that its source term are rational functions. We obtain the best approximation of source term by Chebyshev polynomials of the first kind, then we solve the ordinary differential equations by using the Adomian decomposition method