Solitary waves induced by the boundary forced EW equation

The development of a train of EW solitary waves induced by boundary forcing is studied using a Petrov–Galerkin finite element scheme with shape functions taken as quadratic B-spline functions. A linear recurrence relationship for the numerical scheme is obtained via a Crank–Nicholson approach involv...

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering 2001-06, Vol.190 (37), p.4881-4887
Main Author: Zaki, S.I.
Format: Article
Language:English
Subjects:
Computational techniques
Exact sciences and technology
Finite elements
Finite-element and galerkin methods
Mathematical methods in physics
Petrov–Galerkin
Physics
RLW equation
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Summary:The development of a train of EW solitary waves induced by boundary forcing is studied using a Petrov–Galerkin finite element scheme with shape functions taken as quadratic B-spline functions. A linear recurrence relationship for the numerical scheme is obtained via a Crank–Nicholson approach involving a product approximation. Results are compared with those for the RLW and KdV equations.
ISSN:0045-7825
1879-2138
DOI:10.1016/S0045-7825(99)00462-4