EN
An efficient approach to numerical study of the coupled-BBM system with B-spline collocation method
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
Details
Primary Language
English
Subjects
-
Journal Section
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Publication Date
September 1, 2016
Submission Date
September 1, 2016
Acceptance Date
-
Published in Issue
Year 2016 Volume: 1 Number: 3
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.Kamal Raslan, Talaat S. El-danaf, Khalid Ali. An efficient approach to numerical study of the coupled-BBM system with B-spline collocation method. CMMA [Internet]. 2016 Sep. 1;1(3):5-15. Available from: https://izlik.org/JA82UR64XF