Parametric spline solution of the regularized long wave equation

DOI10.1016/j.amc.2014.05.133zbMath1336.65176OpenAlexW2078606868MaRDI QIDQ279917

Bin Lin

Publication date: 29 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.05.133

zbMATH Keywords

solitary wavesregularized long wave equationparametric quintic splinesvon Neumann technique

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Wave equation (35L05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (9)

Higher order Haar wavelet method integrated with strang splitting for solving regularized long wave equation ⋮ A mixed method approach to the solitary wave, undular bore and boundary-forced solutions of the regularized long wave equation ⋮ A shift‐adaptive meshfree method for solving a class of initial‐boundary value problems with moving boundaries in one‐dimensional domain ⋮ A novel outlook to the an alternative equation for modelling shallow water wave: regularised long wave (RLW) equation ⋮ The conservative and fourth-order compact finite difference schemes for regularized long wave equation ⋮ A two-grid block-centered finite difference method for the nonlinear regularized long wave equation ⋮ A new energy conservative scheme for regularized long wave equation. ⋮ A new functional iterative algorithm for the regularized long-wave equation using an integral equation formalism ⋮ Quartic trigonometric B-spline algorithm for numerical solution of the regularized long wave equation

Cites Work

• Explicit multistep method for the numerical solution of RLW equation
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• Numerical solution of GRLW equation using sinc-collocation method
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• Derivation of Korteweg-de Vries flow equations from the regularized long-wave (RLW) equation
• Application of cubic B-splines for numerical solution of the RLW equation
• Galerkin method for the numerical solution of the RLW equation using quintic B-splines
• Numerical solution of the regularized long wave equation using nonpolynomial splines
• Least-squares quadratic B-spline finite element method for the regularised long wave equation
• A meshfree method for the numerical solution of the RLW equation
• A conservative weighted finite difference scheme for regularized long wave equation
• Application of a lumped Galerkin method to the regularized long wave equation
• Galerkin method for the numerical solution of the RLW equation using quadratic B-splines
• A Nonpolynomial Spline Scheme for the Generalized Regularized Long Wave Equation
• Model equations for long waves in nonlinear dispersive systems
• A least-squares finite element scheme for the RLW equation
• Approximation of the RLW equation by the least square cubic \(B\)-spline finite element method
• Unnamed Item

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