Symplectic multiquadric quasi-interpolation approximations of KdV equation
DOI10.2298/FIL1815161ZzbMath1499.65588OpenAlexW2941009278WikidataQ127985476 ScholiaQ127985476MaRDI QIDQ5088132
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Publication date: 4 July 2022
Published in: Filomat (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2298/fil1815161z
KdV equationHamiltonian systemmeshless methodmultiquadric quasi-interpolationssymplectic approximation
Numerical smoothing, curve fitting (65D10) KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical interpolation (65D05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical radial basis function approximation (65D12)
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Cites Work
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- Two reliable methods for solving variants of the KdV equation with compact and noncompact structures
- The inverse scattering transform: tools for the nonlinear Fourier analysis and filtering of ocean surface waves.
- A numerical method for KdV equation using collocation and radial basis functions
- Univariate multiquadric approximation: Quasi-interpolation to scattered data
- Symplectic integration of Hamiltonian wave equations
- Symplectic and multisymplectic schemes with the simple finite element method
- Exponential finite-difference method applied to Korteweg--de Vries equation for small times
- Shape preserving properties and convergence of univariate multiquadric quasi-interpolation
- An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
- Symplectic wavelet collocation method for Hamiltonian wave equations
- Approximation to the \(k\)-th derivatives by multiquadric quasi-interpolation method
- Multiquadric \(B\)-splines
- A Legendre--Petrov--Galerkin and Chebyshev Collocation Method for Third-Order Differential Equations
- On spectral approximations using modified Legendre rational functions: Application to the Korteweg-de Vries equation on the half line
- Exact solitary wave solutions of nonlinear evolution and wave equations using a direct algebraic method
- Scattered Data Interpolation: Tests of Some Method
- The Pseudospectral Method for Third-Order Differential Equations
- Sympletic Finite Difference Approximations of the Nonlinear Klein--Gordon Equation
- Exponential convergence andH-c multiquadric collocation method for partial differential equations
- Optimal Error Estimates of the Legendre--Petrov--Galerkin Method for the Korteweg--de Vries Equation
- Numerical methods for Hamiltonian PDEs
- The homogeneous balance method, Lax pair, Hirota transformation and a general fifth-order KdV equation
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