Approximate solutions of the hyperchaotic R ¨ossler system by using the Bessel collocation scheme

Şuayip Yüzbaşı

Makale detayları

Approximate solutions of the hyperchaotic R ¨ossler system by using the Bessel collocation scheme

Yazarlar:

Şuayip Yüzbaşı

Yayıncı:

Biska Bilişim

Dergi:

New Trends in Mathematical Sciences 2015 Vol.3 Issue 2, pp.70-78

Belge Tipi:

Makale

Yayın Tarihi:

1/2015

Belge Dili:

Türkçe

Document ID (Org No.):

2000830093

Sıklık:

Üç Aylık

eISSN:

2147-5520

pISSN:

2147-5520

Özet:

 

The purpose of this study is to give a Bessel polynomial approximation for the solutions of the hyperchaotic R¨ossler system.For this purpose, the Bessel collocation method applied to different problems is developed for the mentioned system. This method isbased on taking the truncated Bessel expansions of the functions in the hyperchaotic R¨ossler systems. The suggested secheme convertsthe problem into a system of nonlinear algebraic equations by means of the matrix operations and collocation points, The accuracy andefficiency of the proposed approach are demonstrated by numerical applications and performed with the help of a computer code writtenin Maple. Also, comparison between our method and the differential transformation method is made with the accuracy of solutions.

Makale detayları

Approximate solutions of the hyperchaotic R ¨ossler system by using the Bessel collocation scheme

Yazarlar: Şuayip Yüzbaşı

Yayıncı: Biska Bilişim

Dergi: New Trends in Mathematical Sciences 2015 Vol.3 Issue 2, pp.70-78

Belge Tipi: Makale

Yayın Tarihi: 1/2015

Belge Dili: Türkçe

Document ID (Org No.): 2000830093

Sıklık: Üç Aylık

eISSN: 2147-5520

pISSN: 2147-5520

Sayı

Yazarlar:

Şuayip Yüzbaşı

Yayıncı:

Biska Bilişim

Dergi:

New Trends in Mathematical Sciences 2015 Vol.3 Issue 2, pp.70-78

Belge Tipi:

Makale

Yayın Tarihi:

1/2015

Belge Dili:

Türkçe

Document ID (Org No.):

2000830093

Sıklık:

Üç Aylık

eISSN:

2147-5520

pISSN:

2147-5520