Numerical Study of Rosenau-KdVEquation Using Finite Element Method Based on Collocation Approach
Loading...
Date
2017
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Mathematical Modelling and Analysis
Abstract
In the present paper, a numerical method is proposed for the numerical
solution of Rosenau-KdV equation with appropriate initial and boundary conditions
by using collocation method with septic B-spline functions on the uniform mesh
points. The method is shown to be unconditionally stable using von-Neumann technique.
To check accuracy of the error norms L2 and L1 are computed. Interaction
of two and three solitary waves are used to discuss the e ect of the behavior of the
solitary waves during the interaction. Furthermore, evolution of solitons is illustrated
by undular bore initial condition. These results show that the technique introduced
here is suitable to investigate behaviors of shallow water waves.
Description
Keywords
Rosenau-KdV, B-spline, nite element, collocation and dispersive.