A Petrov-Galerkin method for equal width equation

DOI10.1016/j.amc.2011.08.013zbMath1243.65125OpenAlexW2145890163MaRDI QIDQ425464

Thoudam Roshan

Publication date: 8 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.08.013

zbMATH Keywords

stabilitynumerical examplessolitary wavefinite elementsolitonPetrov-Galerkin methodproduct approximationequal width equationquadratic \(B\)-spline

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)

Related Items (3)

Numerical solutions of the equal width equation by trigonometric cubic B‐spline collocation method based on <scp>Rubin–Graves</scp> type linearization ⋮ An efficient local meshless method for the equal width equation in fluid mechanics ⋮ Highly accurate numerical scheme based on polynomial scaling functions for equal width equation

Cites Work

• Scattering of regularized-long-wave solitary waves
• Petrov-Galerkin methods for nonlinear dispersive waves
• Solitary waves of the equal width wave equation
• A least-squares finite element scheme for the EW equation
• Application of Galerkin's method to equal width wave equation
• A cubic B-spline collocation method for the EW equation
• Product Approximation for Non-linear Problems in the Finite Element Method
• Euler operators and conservation laws of the BBM equation
• Simulations of the EW undular bore
• Solitary waves for the generalized equal width (GEW) equation
• Model equations for long waves in nonlinear dispersive systems
• Solitary waves induced by the boundary forced EW equation

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