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

Author(s):

Hasan Barzegar Kelishami *

Message:
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
Keywords:

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

Language:
English
Published:
International Journal of Mathematical Modelling & Computations, Volume:7 Issue: 4, Autumn 2017
Pages:
287 to 297
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