A NUMERICAL SOLUTION OF THE MODIFIED REGULARIZED LONG WAVE  MRLW  EQUATION USING QUARTIC B-SPLINES

S. Battal Gazi KARAKOC; Turabi GEYİKLİ; Ali BASHAN

Makale detayları

A NUMERICAL SOLUTION OF THE MODIFIED REGULARIZED LONG WAVE MRLW EQUATION USING QUARTIC B-SPLINES

Yazarlar:

S. Battal Gazi KARAKOC | Turabi GEYİKLİ | Ali BASHAN

Yayıncı:

Turkic World Mathematical Society

Dergi:

TWMS Journal of Applied and Engineering Mathematics 2013 Vol.3 Issue 2, pp.231-244

Belge Tipi:

Makale

Yayın Tarihi:

11/2013

Belge Dili:

İngilizce

Document ID (Org No.):

2000746293

Sıklık:

Aylık

eISSN:

2587-1013

pISSN:

2146-1147

Özet:

 

In this paper, a numerical solution of the modified regularized long  wave  MRLW  equation is obtained by subdomain finite element method using quartic  B-spline functions. Solitary wave motion, interaction of two and three solitary waves and  the development of the Maxwellian initial condition into solitary waves are studied using  the proposed method. Accuracy and efficiency of the proposed method are tested by  calculating the numerical conserved laws and error norms L2 and L∞ . The obtained results show that the method is an effective numerical scheme to solve the MRLW equation.  In addition, a linear stability analysis of the scheme is found to be unconditionally stable.

Makale detayları

A NUMERICAL SOLUTION OF THE MODIFIED REGULARIZED LONG WAVE MRLW EQUATION USING QUARTIC B-SPLINES

Yazarlar: S. Battal Gazi KARAKOC | Turabi GEYİKLİ | Ali BASHAN

Yayıncı: Turkic World Mathematical Society

Dergi: TWMS Journal of Applied and Engineering Mathematics 2013 Vol.3 Issue 2, pp.231-244

Belge Tipi: Makale

Yayın Tarihi: 11/2013

Belge Dili: İngilizce

Document ID (Org No.): 2000746293

Sıklık: Aylık

eISSN: 2587-1013

pISSN: 2146-1147

Sayı

Yazarlar:

S. Battal Gazi KARAKOC | Turabi GEYİKLİ | Ali BASHAN

Yayıncı:

Turkic World Mathematical Society

Dergi:

TWMS Journal of Applied and Engineering Mathematics 2013 Vol.3 Issue 2, pp.231-244

Belge Tipi:

Makale

Yayın Tarihi:

11/2013

Belge Dili:

İngilizce

Document ID (Org No.):

2000746293

Sıklık:

Aylık

eISSN:

2587-1013

pISSN:

2146-1147