Numerical solution of the modified equal width wave equation

DOI10.1155/2012/587208zbMath1237.65110OpenAlexW2091820567WikidataQ58702824 ScholiaQ58702824MaRDI QIDQ763012

Turabi Geyikli, Seydi Battal Gazi Karakoc

Publication date: 8 March 2012

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/587208

zbMATH Keywords

stabilitymodified equal width wave equationcubic B-spline finite element methodinteraction of two solitary waveslumped Galerkin methodnumerical restultsSolitary wave motion

Mathematics Subject Classification ID

Wave equation (35L05) 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)

Related Items (13)

Numerical approximation to the MEW equation for the single solitary wave and different types of interactions of the solitary waves ⋮ Lie symmetries of generalized equal width wave equations ⋮ Exact solutions of space-time fractional EW and modified EW equations ⋮ Petrov-Galerkin finite element method for solving the MRLW equation ⋮ Finite difference method combined with differential quadrature method for numerical computation of the modified equal width wave equation ⋮ An efficient computational technique for higher order KdV equation arising in shallow water waves ⋮ A numerical algorithm for solitary wave solutions of the GEW equation ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Numerical investigations of shallow water waves via generalized equal width (GEW) equation ⋮ Lie symmetry reductions and solitary wave solutions of modified equal width wave equation ⋮ Analytical and computational approaches on solitary wave solutions of the generalized equal width equation ⋮ Numerical solutions of the generalized equal width wave equation using the Petrov–Galerkin method

Cites Work

• Unnamed Item
• Petrov-Galerkin method with cubic B-splines for solving the MEW equation
• Solitary wave solutions of the modified equal width wave equation
• Scattering of regularized-long-wave solitary waves
• Solitary waves of the equal width wave equation
• The boundary forced MKdV equation
• Solitary wave interactions for the modified equal width equation
• A least-squares finite element scheme for the EW equation
• Quartic B-spline collocation method to the numerical solutions of the Burgers' equation
• The tanh and the sine-cosine methods for a reliable treatment of the modified equal width equation and its variants
• A numerical solution of the equal width wave equation by a lumped Galerkin method
• Solitary waves of the regularised long-wave equation
• Algorithms for numerical solution of the modified equal width wave equation using collocation method
• A lumped Galerkin method for the numerical solution of the modified equal-width wave equation using quadratic B-splines
• Solitary waves for the generalized equal width (GEW) equation

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