Application of Galerkin's method to equal width wave equation

DOI10.1016/j.amc.2003.08.105zbMath1063.65104OpenAlexW2087462514MaRDI QIDQ1765395

Abdulkadir Dogan

Publication date: 23 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2003.08.105

zbMATH Keywords

numerical exampleserror boundsfinite element methodsGalerkin's methodundular boreCrank-Nicolson methodnonlinear equal width wave equation

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (16)

A fully implicit finite difference approach for numerical solution of the generalized equal width (GEW) equation ⋮ A finite element method for equal width equation ⋮ An efficient analytical approach for fractional equal width equations describing hydro-magnetic waves in cold plasma ⋮ Runge-Kutta integration of the equal width wave equation using the method of lines ⋮ A Petrov-Galerkin method for solving the generalized equal width (GEW) equation ⋮ Numerical solutions of the equal width equation by trigonometric cubic B‐spline collocation method based on <scp>Rubin–Graves</scp> type linearization ⋮ A spectrally accurate time ‐ space pseudospectral method for viscous Burgers' equation ⋮ A numerical algorithm for solitary wave solutions of the GEW equation ⋮ A Petrov-Galerkin method for equal width equation ⋮ Soliton Kernels for Solving PDEs ⋮ Three different methods for numerical solution of the EW equation ⋮ Numerical simulation of equal-width wave equation ⋮ 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 ⋮ A linearized implicit finite-difference method for solving the equal width wave equation ⋮ A numerical solution of the equal width wave equation by a lumped Galerkin method

Cites Work

• Unnamed Item
• Scattering of regularized-long-wave solitary waves
• Solitary waves of the equal width wave equation
• Modelling an undular bore with \(B\)-splines
• A least-squares finite element scheme for the EW equation
• Numerical solution of RLW equation using linear finite elements within Galerkin's method
• Least-squares quadratic B-spline finite element method for the regularised long wave equation
• Solitary waves of the regularised long-wave equation
• Numerical solution of regularized long wave equation using Petrov-Galerkin method
• Euler operators and conservation laws of the BBM equation
• A B‐spline finite element method for the regularized long wave equation
• Simulations of the EW undular bore
• A least-squares finite element scheme for the RLW equation

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