Cosine expansion-based differential quadrature method for numerical solution of the KdV equation

DOI10.1016/j.chaos.2007.10.004zbMath1198.65171OpenAlexW2048382458WikidataQ115359349 ScholiaQ115359349MaRDI QIDQ602217

Bülent Saka

Publication date: 4 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.10.004

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (9)

The exponential cubic B-spline algorithm for Korteweg-de Vries equation ⋮ New exact solutions and numerical approximations of the generalized KdV equation ⋮ Single soliton and double soliton solutions of the quadratic‐nonlinear Korteweg‐de Vries equation for small and long‐times ⋮ Error estimates of a space-time Legendre spectral method for solving the Korteweg-de Vries equation ⋮ Cosine expansion based differential quadrature algorithm for numerical simulation of two dimensional hyperbolic equations with variable coefficients ⋮ Unnamed Item ⋮ Modification of quintic B-spline differential quadrature method to nonlinear Korteweg-de Vries equation and numerical experiments ⋮ Numerical methods based on radial basis function-generated finite difference (RBF-FD) for solution of GKdVB equation ⋮ Analysis of chaotic behavior of three-dimensional dynamical systems by a B-spline differential quadrature algorithm

Cites Work

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• An analytical numerical method for solving the Korteweg-de Vries equation
• A comparison between two different methods for solving KdV-Burgers equation
• Galerkin methods applied to some model equations for non-linear dispersive waves
• A localized differential quadrature (LDQ) method and its application to the 2D wave equation
• Solitary waves of the Korteweg-de Vries-Burgers' equation
• Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method
• Numerical solution of the Korteweg-de Vries (KdV) equation
• Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations
• Comparison of the solutions obtained by B-spline FEM and ADM of KdV equation
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
• Collocation solution of the Korteweg–de Vries equation using septic splines

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