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Zbl 1082.65574
Esen, A.
A numerical solution of the equal width wave equation by a lumped Galerkin method. (English)
[J] Appl. Math. Comput. 168, No. 1, 270-282 (2005). ISSN 0096-3003

Summary: The equal width wave equation is solved by a numerical technique based on a lumped Galerkin method using quadratic B-spline finite elements to investigate the motion of a single solitary wave, development of two solitary waves interaction and an undular bore. The obtained results are compared with published numerical solutions. A linear stability analysis of the method is also investigated.

MSC 2000:: *65M60 Finite numerical methods (IVP of PDE)
35L75 Nonlinear hyperbolic PDE of higher $(>2)$ order
35Q51 Solitons
65M12 Stability and convergence of numerical methods (IVP of PDE)

Keywords: EW equation; lumped Galerkin method; splines; solitary waves; undular bore; numerical examples; equal width wave equation; stability

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Zentralblatt MATH Berlin [Germany]