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

Publish place: International Journal of Mathematical Modelling and Computations، Vol: 7، Issue: 4
Publish Year: 1396
Type: Journal paper
Language: English
View: 242

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Link to this Paper:
https://civilica.com/doc/1590016

Document National Code:

JR_IJMAC-7-4_005

Index date: 18 January 2023

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

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

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

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

hasan barzegar kelishami

Department of Mathematics‎, ‎Islamic Azad University‎, ‎Central Tehran Branch‎, ‎Tehran‎, ‎Iran