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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

https://izlik.org/JA82UR64XF

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

https://izlik.org/JA82UR64XF

Abstract

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Details

Other ID JA87UD33VS
Authors

Kamal Raslan This is me

Talaat S. El-danaf This is me

Khalid Ali This is me

Publication Date September 1, 2016
IZ https://izlik.org/JA82UR64XF
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. https://izlik.org/JA82UR64XF
AMA 1.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. https://izlik.org/JA82UR64XF
Chicago Raslan, Kamal, Talaat S. El-danaf, and Khalid Ali. 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. https://izlik.org/JA82UR64XF.
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 [1]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, Sept. 2016, [Online]. Available: https://izlik.org/JA82UR64XF
ISNAD Raslan, Kamal - El-danaf, Talaat S. - Ali, Khalid. “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 1, 2016): 5-15. https://izlik.org/JA82UR64XF.
JAMA 1.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, Sept. 2016, pp. 5-15, https://izlik.org/JA82UR64XF.
Vancouver 1.Raslan K, El-danaf TS, Ali K. An efficient approach to numerical study of the coupled-BBM system with B-spline collocation method. CMMA [Internet]. 2016 Sept. 1;1(3):5-15. Available from: https://izlik.org/JA82UR64XF