A new non-polynomial spline method for solution of linear and non-linear third order dispersive equations
DOI10.1186/s13662-018-1763-zzbMath1448.65016OpenAlexW2890962459MaRDI QIDQ1715565
Publication date: 28 January 2019
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-018-1763-z
stability analysissolitonKorteweg-de Vries equationthird order dispersive equationspline function approximation
Numerical computation using splines (65D07) KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
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Cites Work
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- Direct numerical methods for solving a class of third-order partial differential equations
- A meshfree method for numerical solution of KdV equation
- A comparison between two different methods for solving KdV-Burgers equation
- A numerical method for KdV equation using collocation and radial basis functions
- Linear dispersive equations of Airy type
- Approximations of the KdV equation by least squares finite elements
- A finite difference method for the Korteweg-de Vries and the Kadomtsev-Petviashvili equations
- An analytic study on the third-order dispersive partial differential equations.
- Exponential finite-difference method applied to Korteweg--de Vries equation for small times
- Difference scheme for the dispersive equation
- Numerical methods for the solution of the third- and fifth-order dispersive Korteweg-de Vries equations
- New compacton-like and solitary patterns-like solutions to nonlinear wave equations with linear dispersion terms
- An application for a modified KdV equation by the decomposition method and finite element method
- Numerical solution of fourth order parabolic partial differential equation using parametric septic splines
- Global extrapolations of numerical methods for solving a third-order dispersive partial differential equation
- Method for Solving the Korteweg-deVries Equation
- On the solution of a korteweg-de vries like equation by the decomposition method
- On the equations of motion for mixtures of liquid and gas bubbles
- On the Location of Zeros of Certain Classes of Polynomials with Applications to Numerical Analysis
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