A reduced high-order compact finite difference scheme based on proper orthogonal decomposition technique for KdV equation
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Publication:2007557
DOI10.1016/j.amc.2018.07.017zbMath1429.65208OpenAlexW2885484859WikidataQ129403192 ScholiaQ129403192MaRDI QIDQ2007557
Publication date: 22 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.2018.07.017
KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)
Related Items (6)
Simulation of the interaction of light with <scp>3‐D</scp> metallic nanostructures using a proper orthogonal decomposition‐Galerkin reduced‐order discontinuous Galerkin time‐domain method ⋮ A second order convergent difference scheme for the initial‐boundary value problem of Korteweg–de Vires equation ⋮ A high-order accurate finite difference scheme for the KdV equation with time-periodic boundary forcing ⋮ Stability analysis of a high-order finite-difference scheme for the Korteweg-de Vries equation with non-homogeneous boundaries ⋮ Modification of quintic B-spline differential quadrature method to nonlinear Korteweg-de Vries equation and numerical experiments ⋮ A non-intrusive model order reduction approach for parameterized time-domain Maxwell's equations
Cites Work
- Unnamed Item
- A reduced-order Crank-Nicolson finite volume element formulation based on POD method for parabolic equations
- A meshfree method for numerical solution of KdV equation
- Reduced-order extrapolation spectral-finite difference scheme based on POD method and error estimation for three-dimensional parabolic equation
- Exponential convergence of a spectral projection of the KdV equation
- A mesh-free method for the numerical solution of the KdV-Burgers equation
- Some reduced finite difference schemes based on a proper orthogonal decomposition technique for parabolic equations
- A higher-order moment method of the lattice Boltzmann model for the Korteweg-de Vries equation
- A reduced finite difference scheme based on singular value decomposition and proper orthogonal decomposition for Burgers equation
- A boundary value problem for the KdV equation: comparison of finite-difference and Chebyshev methods
- Approximations of the KdV equation by least squares finite elements
- Compact finite difference schemes with spectral-like resolution
- The quintic spline for solving the Korteweg-de Vries equation
- A finite difference method for the Korteweg-de Vries and the Kadomtsev-Petviashvili equations
- A quintic B-spline finite elements scheme for the KdVB equation
- A reduced-order finite difference extrapolation algorithm based on POD technique for the non-stationary Navier-Stokes equations
- The use of proper orthogonal decomposition (POD) meshless RBF-FD technique to simulate the shallow water equations
- A combination of proper orthogonal decomposition-discrete empirical interpolation method (POD-DEIM) and meshless local RBF-DQ approach for prevention of groundwater contamination
- A reduced-order extrapolation central difference scheme based on POD for two-dimensional fourth-order hyperbolic equations
- Time-accurate solutions of Korteweg--de Vries equation using wavelet Galerkin method
- Spectral-like resolution compact ADI finite difference method for the multi-dimensional Schrödinger equations
- Numerical analysis for fourth-order compact conservative difference scheme to solve the 3D Rosenau-RLW equation
- Septic B-spline method of the Korteweg-de Vries-Burgers equation
- Numerical solutions of KdV equation using radial basis functions
- High-order compact schemes for nonlinear dispersive waves
- The method of proper orthogonal decomposition for dynamical characterization and order reduction of mechanical systems: an overview
- A meshless method of lines for the numerical solution of KdV equation using radial basis functions
- PROPER ORTHOGONAL DECOMPOSITION AND ITS APPLICATIONS—PART I: THEORY
- A New Look at Proper Orthogonal Decomposition
- Proper orthogonal decomposition and modal analysis for acceleration of transient FEM thermal analysis
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