A hybrid numerical method for the KdV equation by finite difference and sinc collocation method
DOI10.1016/j.amc.2019.02.031zbMath1429.65245OpenAlexW2920895155MaRDI QIDQ2009349
Yufeng Xu, Desong Kong, Zhou-shun Zheng
Publication date: 28 November 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2019.02.031
KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items (11)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Galerkin method for the KdV equation using a new basis of smooth piecewise cubic polynomials
- An analytical numerical method for solving the Korteweg-de Vries equation
- Sinc collocation-interpolation method for the simulation of nonlinear waves
- A Hopscotch method for the Korteweg-de-Vries equation
- Solution of nonlinear initial-boundary value problems by sinc collocation-interpolation methods
- A small time solutions for the Korteweg-de Vries equation
- Eventual periodicity of the forced oscillations for a Korteweg-de Vries type equation on a bounded domain using a sinc collocation method
- Energy-conserving Hamiltonian boundary value methods for the numerical solution of the Korteweg-de Vries equation
- The design of conservative finite element discretisations for the vectorial modified KdV equation
- Exponential finite-difference method applied to Korteweg--de Vries equation for small times
- Applications of KdV
- A small time solutions for the Korteweg--de Vries equation using spline approximation
- Numerical solution of Korteweg-de Vries equation by Galerkin B-spline finite element method
- On the Korteweg - de Vries equation: Existence and uniqueness
- A Legendre--Petrov--Galerkin and Chebyshev Collocation Method for Third-Order Differential Equations
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- A New Dual-Petrov-Galerkin Method for Third and Higher Odd-Order Differential Equations: Application to the KDV Equation
- Spectral Methods in MATLAB
- Optimal Error Estimates of the Legendre--Petrov--Galerkin Method for the Korteweg--de Vries Equation
- A Local Discontinuous Galerkin Method for KdV Type Equations
- Integrals of nonlinear equations of evolution and solitary waves
- Weak Nonlinear Dispersive Waves: A Discussion Centered Around the Korteweg–De Vries Equation
- Finite-difference schemes for the Korteweg-de Vries equation
This page was built for publication: A hybrid numerical method for the KdV equation by finite difference and sinc collocation method