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A numerical solution of the equal width wave equation by a lumped Galerkin method. (English) Zbl 1082.65574
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:
 65M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (IVP of PDE) 35L75 Nonlinear hyperbolic PDE of higher $(>2)$ order 35Q51 Soliton-like equations 65M12 Stability and convergence of numerical methods (IVP of PDE)
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##### References:
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