A lumped Galerkin method for the numerical solution of the modified equal-width wave equation using quadratic B-splines

DOI10.1080/00207160600909918zbMath1111.65086OpenAlexW1997866905MaRDI QIDQ3427652

Alaattin Esen

Publication date: 23 March 2007

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160600909918

zbMATH Keywords

stabilitynumerical resultssolitary wavesmodified equal width wave (MEW) equationquadratic B-spline finite elements

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Higher-order nonlinear hyperbolic equations (35L75)

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Cites Work

• Unnamed Item
• Galerkin method for the numerical solution of the RLW equation using quintic B-splines
• Scattering of regularized-long-wave solitary waves
• Solitary wave interactions for the modified equal width equation
• The tanh and the sine-cosine methods for a reliable treatment of the modified equal width equation and its variants
• Solitary waves for the generalized equal width (GEW) equation

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