A novel convenient finite difference method for shallow water waves derived by fifth‐order Kortweg and De‐Vries‐type equation
DOI10.1002/num.22875OpenAlexW4214701140WikidataQ114235140 ScholiaQ114235140MaRDI QIDQ6069512
Kanyuta Poochinapan, Ben Wongsaijai
Publication date: 16 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.22875
PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) 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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite difference methods for boundary value problems involving PDEs (65N06) Traveling wave solutions (35C07)
Related Items (1)
Cites Work
- Unnamed Item
- Group analysis, exact solutions and conservation laws of a generalized fifth order KdV equation
- Symbolic methods to construct exact solutions of nonlinear partial differential equations
- Energy method for structure-preserving finite difference schemes and some properties of difference quotient
- The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations
- Solitons and periodic solutions for the fifth-order KdV equation
- An explicit and numerical solutions of some fifth-order KdV equation by decomposition method
- Two conservative difference schemes for a model of nonlinear dispersive equations
- Efficiency of high-order accurate difference schemes for the Korteweg-de Vries equation
- Compact structure-preserving algorithm with high accuracy extended to the improved Boussinesq equation
- Numerical analysis for fourth-order compact conservative difference scheme to solve the 3D Rosenau-RLW equation
- Performance of compact and non-compact structure preserving algorithms to traveling wave solutions modeled by the Kawahara equation
- On numerical soliton solution of the Kaup-Kupershmidt equation and convergence analysis of the decomposition method
- A dual-Petrov-Galerkin method for extended fifth-order Korteweg-de Vries type equations
- Adaptive method of lines solutions for the extended fifth-order Korteweg-de Vries equation
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- New conservative difference schemes with fourth‐order accuracy for some model equation for nonlinear dispersive waves
- Numerical study of a conservative weighted compact difference scheme for the symmetric regularized long wave equations
- Advance in compact structure‐preserving manner to the Rosenau–Kawahara model of shallow‐water wave
- Convergence analysis of the higher-order global mass-preserving numerical method for the symmetric regularized long-wave equation
- A three‐level linearized finite difference scheme for the camassa–holm equation
- Long Non‐Linear Waves in Fluid Flows
This page was built for publication: A novel convenient finite difference method for shallow water waves derived by fifth‐order Kortweg and De‐Vries‐type equation
