Stability analysis of a high-order finite-difference scheme for the Korteweg-de Vries equation with non-homogeneous boundaries
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Publication:1983873
DOI10.1007/s40314-021-01443-4zbMath1476.65211OpenAlexW3131082012MaRDI QIDQ1983873
Publication date: 10 September 2021
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-021-01443-4
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods for boundary value problems involving PDEs (65N06)
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Cites Work
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- A three-level average implicit finite difference scheme to solve equation obtained by coupling the Rosenau-KdV equation and the Rosenau-RLW equation
- Convergence of finite difference schemes for the Benjamin-Ono equation
- Error estimate for a fully discrete spectral scheme for Korteweg-de Vries-Kawahara equation
- A numerical method for KdV equation using collocation and radial basis functions
- Moving space curve equations and a family of coupled KdV type systems.
- A three-level linear implicit conservative scheme for the Rosenau-KdV-RLW equation
- Some conservation laws for a forced KdV equation
- Variational multiscale element-free Galerkin method combined with the moving Kriging interpolation for solving some partial differential equations with discontinuous solutions
- A reduced high-order compact finite difference scheme based on proper orthogonal decomposition technique for KdV equation
- A hybrid numerical method for the KdV equation by finite difference and sinc collocation method
- Novel algorithm based on modification of Galerkin finite element method to general Rosenau-RLW equation in (2 + 1)-dimensions
- A high-order accurate finite difference scheme for the KdV equation with time-periodic boundary forcing
- The Cauchy problem of a periodic higher order KdV equation in analytic Gevrey spaces
- A numerical method to compute the scattering solution for the KdV equation
- Boundary meshfree methods based on the boundary point interpolation methods
- A local discontinuous Galerkin method for the Korteweg-de Vries equation with boundary effect
- Finite difference procedures for solving a problem arising in modeling and design of certain optoelectronic devices
- Convergence of a fully discrete finite difference scheme for the Korteweg–de Vries equation
- Convergence of a Higher Order Scheme for the Korteweg--De Vries Equation
- On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation
- A New Dual-Petrov-Galerkin Method for Third and Higher Odd-Order Differential Equations: Application to the KDV Equation
- New conservative difference schemes with fourth‐order accuracy for some model equation for nonlinear dispersive waves
- Uniform error estimates of fourth-order conservative linearized difference scheme for a mathematical model for long wave
- Solving nonlinear fractional partial differential equations using the homotopy analysis method
- Analysis of new conservative difference scheme for two-dimensional Rosenau-RLW equation
