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

Cenk KESAN

Makale detayları

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

Yazarlar:

Cenk KESAN

Yayıncı:

Gazi University

Dergi:

Gazi University Journal of Science 2011 Vol.24 Issue 4, pp.739-745

Belge Tipi:

Makale

Yayın Tarihi:

1/2011

Belge Dili:

İngilizce

Document ID (Org No.):

2000429529

eISSN:

2147-1762

Özet:

 


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. 

 

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Makale detayları

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

Yazarlar: Cenk KESAN

Yayıncı: Gazi University

Dergi: Gazi University Journal of Science 2011 Vol.24 Issue 4, pp.739-745

Belge Tipi: Makale

Yayın Tarihi: 1/2011

Belge Dili: İngilizce

Document ID (Org No.): 2000429529

eISSN: 2147-1762

Sayı

Yazarlar:

Cenk KESAN

Yayıncı:

Gazi University

Dergi:

Gazi University Journal of Science 2011 Vol.24 Issue 4, pp.739-745

Belge Tipi:

Makale

Yayın Tarihi:

1/2011

Belge Dili:

İngilizce

Document ID (Org No.):

2000429529

eISSN:

2147-1762