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An efficient approach to numerical study of the coupled-BBM system with B-spline collocation method

Yıl 2016, Cilt: 1 Sayı: 3, 5 - 15, 01.09.2016

Kamal Raslan Talaat S. El-danaf Khalid Ali

Öz

In the present paper, a numerical method is proposed for the numerical solution of a coupled-BBM system with appropriate
initial and boundary conditions by using collocation method with cubic trigonometric B-spline on the uniform mesh points. The
method is shown to be unconditionally stable using von-Neumann technique. To test accuracy the error norms L2, L∞ are computed.
Furthermore, interaction of two and three solitary waves are used to discuss the effect of the behavior of the solitary waves after the
interaction. These results show that the technique introduced here is easy to apply. We make linearization for the nonlinear term.

Anahtar Kelimeler

Collocation Method cubic trigonometric B-splines method coupled-BBM system

Yıl 2016, Cilt: 1 Sayı: 3, 5 - 15, 01.09.2016

Kamal Raslan Talaat S. El-danaf Khalid Ali

Öz

Toplam 0 adet kaynakça vardır.

Ayrıntılar

Diğer ID JA87UD33VS
Bölüm Araştırma Makalesi
Yazarlar

Kamal Raslan Bu kişi benim

Talaat S. El-danaf Bu kişi benim

Khalid Ali Bu kişi benim

Yayımlanma Tarihi 1 Eylül 2016
Yayımlandığı Sayı Yıl 2016 Cilt: 1 Sayı: 3

Kaynak Göster

APA Raslan, K., El-danaf, T. S., & Ali, K. (2016). An efficient approach to numerical study of the coupled-BBM system with B-spline collocation method. Communication in Mathematical Modeling and Applications, 1(3), 5-15.
AMA Raslan K, El-danaf TS, Ali K. An efficient approach to numerical study of the coupled-BBM system with B-spline collocation method. CMMA. Eylül 2016;1(3):5-15.
Chicago Raslan, Kamal, Talaat S. El-danaf, ve Khalid Ali. “An Efficient Approach to Numerical Study of the Coupled-BBM System With B-Spline Collocation Method”. Communication in Mathematical Modeling and Applications 1, sy. 3 (Eylül 2016): 5-15.
EndNote Raslan K, El-danaf TS, Ali K (01 Eylül 2016) An efficient approach to numerical study of the coupled-BBM system with B-spline collocation method. Communication in Mathematical Modeling and Applications 1 3 5–15.
IEEE K. Raslan, T. S. El-danaf, ve K. Ali, “An efficient approach to numerical study of the coupled-BBM system with B-spline collocation method”, CMMA, c. 1, sy. 3, ss. 5–15, 2016.
ISNAD Raslan, Kamal vd. “An Efficient Approach to Numerical Study of the Coupled-BBM System With B-Spline Collocation Method”. Communication in Mathematical Modeling and Applications 1/3 (Eylül 2016), 5-15.
JAMA Raslan K, El-danaf TS, Ali K. An efficient approach to numerical study of the coupled-BBM system with B-spline collocation method. CMMA. 2016;1:5–15.
MLA Raslan, Kamal vd. “An Efficient Approach to Numerical Study of the Coupled-BBM System With B-Spline Collocation Method”. Communication in Mathematical Modeling and Applications, c. 1, sy. 3, 2016, ss. 5-15.
Vancouver Raslan K, El-danaf TS, Ali K. An efficient approach to numerical study of the coupled-BBM system with B-spline collocation method. CMMA. 2016;1(3):5-15.