Modelling solitary waves of a fifth-order non-linear wave equation

Authors:
Turabi Geyikli
Affiliations:
Department of Mathematics, Faculty of Education, Inönü University, Malatya, TURKEY
Venue:
International Journal of Computer Mathematics
Year:
2007

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Abstract

A numerical solution of a fifth-order non-linear dispersive wave equation is set up using collocation of seventh-order B-spline interpolation functions over finite elements. A linear stability analysis shows that this numerical scheme, based on a Crank-Nicolson approximation in time, is unconditionally stable. The method is used to model the behaviour of solitary waves.