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Zbl 1111.65086
Esen, A.
A lumped Galerkin method for the numerical solution of the modified equal-width wave equation using quadratic B-splines. (English)
[J] Int. J. Comput. Math. 83, No. 5-6, 449-459 (2006). ISSN 0020-7160; ISSN 1029-0265/e

Summary: The numerical solution of the one-dimensional modified equal width wave (MEW) equation is obtained by using a lumped Galerkin method based on quadratic B-spline finite elements. The motion of a single solitary wave and the interaction of two solitary waves are studied. The numerical results obtained show that the present method is a remarkably successful numerical technique for solving the MEW equation. A linear stability analysis of the scheme is also investigated.

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

Keywords: solitary waves; modified equal width wave (MEW) equation; quadratic B-spline finite elements; numerical results; stability

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Zentralblatt MATH Berlin [Germany]