Kamal RASLAN, Talaat S. EL-DANAF, Khalid ALİ

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

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,

PDF

Communication in Mathematical Modeling and Applications-Cover

Başlangıç: 2016
Yayıncı: Mustafa BAYRAM

Arşiv

Sayıdaki Diğer Makaleler

Application of intuitionistic fuzzy soft sets in decision making based on real life problems

Anjan MUKHERJEE, Sadhan SARKAR, Somen DEBNATH

Numerical solution of the neutral functional-differential equations with proportional delays via collocation method based on Hermite polynomials

Birol IBİS, Mustafa BAYRAM

İmen HASSAİRİ

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

Kamal RASLAN, Talaat S. EL-DANAF, Khalid ALİ

Finite element method for a fluid flow in a non-uniform channel

Tesfahun BERHANE, Mebratu F. WAKENİ