Approximate Analytical Solutions of the Fractional Sharma-Tasso-Olver Equation Using Homotopy Analysis Method and a Comparison with Other Methods

Alaattin ESEN; Orkun TAŞBOZAN; N. Murat YAĞMURLU

Makale detayları

Approximate Analytical Solutions of the Fractional Sharma-Tasso-Olver Equation Using Homotopy Analysis Method and a Comparison with Other Methods

Yazarlar:

Alaattin ESEN | Orkun TAŞBOZAN | N. Murat YAĞMURLU

Yayıncı:

Cankaya University

Dergi:

Cankaya University Journal of Science and Engineering 2012 Vol.9 Issue 2

Belge Tipi:

Makale

Yayın Tarihi:

3/2012

Belge Dili:

Türkçe

Document ID (Org No.):

2000903434

Sıklık:

İki Yıllık

eISSN:

2564-7954

Özet:

 


In this paper, the homotopy analysis method (HAM) is successfully applied to
the fractional Sharma-Tasso-Olver equation to obtain its approximate analytical solutions.
Comparison of the obtained results with those of variational iteration method (VIM),
Adomian’s decomposition method (ADM) and homotopy perturbation method (HPM) has
led us to conclude that the method gives significantly important consequences. The HAM
solution includes an auxiliary parameter ~ which provides a convenient way of adjusting
and controlling the convergence region of solution series.

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Makale detayları

Approximate Analytical Solutions of the Fractional Sharma-Tasso-Olver Equation Using Homotopy Analysis Method and a Comparison with Other Methods

Yazarlar: Alaattin ESEN | Orkun TAŞBOZAN | N. Murat YAĞMURLU

Yayıncı: Cankaya University

Dergi: Cankaya University Journal of Science and Engineering 2012 Vol.9 Issue 2

Belge Tipi: Makale

Yayın Tarihi: 3/2012

Belge Dili: Türkçe

Document ID (Org No.): 2000903434

Sıklık: İki Yıllık

eISSN: 2564-7954

Sayı

Yazarlar:

Alaattin ESEN | Orkun TAŞBOZAN | N. Murat YAĞMURLU

Yayıncı:

Cankaya University

Dergi:

Cankaya University Journal of Science and Engineering 2012 Vol.9 Issue 2

Belge Tipi:

Makale

Yayın Tarihi:

3/2012

Belge Dili:

Türkçe

Document ID (Org No.):

2000903434

Sıklık:

İki Yıllık

eISSN:

2564-7954