Subdomain finite element method with quartic B-splines for the modified equal width wave equation

DOI10.1134/S0965542515030070zbMath1318.65065MaRDI QIDQ2354457

Seydi Battal Gazi Karakoc, Turabi Geyikli

Publication date: 13 July 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

stabilitysolitary wavesnumerical examplesmodified equal width wave equationquartic B-splinessubdomain finite element method

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 (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 ⋮ Unnamed Item ⋮ Finite difference method combined with differential quadrature method for numerical computation of the modified equal width wave equation ⋮ Convergence and superconvergence analysis of energy-preserving Crank–Nicolson Galerkin method for the Benjamin–Bona–Mahony equation ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Numerical investigations of shallow water waves via generalized equal width (GEW) equation ⋮ Analytical and computational approaches on solitary wave solutions of the generalized equal width equation ⋮ Operator splitting method for numerical solution of modified equal width equation ⋮ Solitary wave solutions of the MKdV\(^-\) equation ⋮ Numerical solutions of the generalized equal width wave equation using the Petrov–Galerkin method ⋮ A new perspective for analytical and numerical soliton solutions of the Kaup-Kupershmidt and Ito equations

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
• The boundary forced MKdV equation
• Solitary wave interactions for the modified equal width equation
• A least-squares finite element scheme for the EW 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
• 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
• 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

This page was built for publication: Subdomain finite element method with quartic B-splines for the modified equal width wave equation