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

Kamal Raslan; Talaat S. El-danaf; Khalid Ali

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

Year 2016, Volume: 1 Issue: 3, 5 - 15, 01.09.2016

Kamal Raslan Talaat S. El-danaf Khalid Ali

Abstract

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.

Keywords

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

Year 2016, Volume: 1 Issue: 3, 5 - 15, 01.09.2016

Kamal Raslan Talaat S. El-danaf Khalid Ali

Abstract

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Details

Other ID	JA87UD33VS
Journal Section	Research Article
Authors	Kamal Raslan This is me Talaat S. El-danaf This is me Khalid Ali This is me
Publication Date	September 1, 2016
Published in Issue	Year 2016 Volume: 1 Issue: 3

Cite

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. September 2016;1(3):5-15.
Chicago	Raslan, Kamal, Talaat S. El-danaf, and 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, no. 3 (September 2016): 5-15.
EndNote	Raslan K, El-danaf TS, Ali K (September 1, 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, and K. Ali, “An efficient approach to numerical study of the coupled-BBM system with B-spline collocation method”, CMMA, vol. 1, no. 3, pp. 5–15, 2016.
ISNAD	Raslan, Kamal et al. “An Efficient Approach to Numerical Study of the Coupled-BBM System With B-Spline Collocation Method”. Communication in Mathematical Modeling and Applications 1/3 (September 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 et al. “An Efficient Approach to Numerical Study of the Coupled-BBM System With B-Spline Collocation Method”. Communication in Mathematical Modeling and Applications, vol. 1, no. 3, 2016, pp. 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.