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.
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.
