A dispersively accurate compact finite difference method for the Degasperis-Procesi equation

DOI10.1016/j.jcp.2012.10.046zbMath1286.65106OpenAlexW2033912895MaRDI QIDQ2449780

Ching-Hao Yu, Tony Wen-Hann Sheu

Publication date: 12 May 2014

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2012.10.046

zbMATH Keywords

Degasperis-Procesi equationconservation of Hamiltoniansnon-dissipativeshockpeakonsymplecticity-preserving

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (8)

High Order Finite Difference WENO Methods with Unequal-Sized Sub-Stencils for the Degasperis-Procesi Type Equations ⋮ Numerical solution of the Degasperis-Procesi equation by the cubic B-spline quasi-interpolation method ⋮ Fourier spectral methods for Degasperis-Procesi equation with discontinuous solutions ⋮ Multi-quadric quasi-interpolation method coupled with FDM for the Degasperis-Procesi equation ⋮ Analysis on the stability of numerical schemes for a class of stochastic partial differential systems ⋮ A Splitting Method for the Degasperis--Procesi Equation Using an Optimized WENO Scheme and the Fourier Pseudospectral Method ⋮ Multi-symplectic method for peakon-antipeakon collision of quasi-Degasperis-Procesi equation ⋮ Adaptive moving knots meshless method for Degasperis-Procesi equation with conservation laws

Cites Work

• Unnamed Item
• Unnamed Item
• Conservative finite difference schemes for the Degasperis-Procesi equation
• Dispersion-relation-preserving finite differene schemes for computational acoustics
• An operator splitting method for the Degasperis-Procesi equation
• On the well-posedness of the Degasperis-Procesi equation
• Formation and dynamics of shock waves in the Degasperis-Procesi equation
• Dissipative/conservative Galerkin method using discrete partial derivatives for nonlinear evolution equations
• The ULTIMATE conservative difference scheme applied to unsteady one- dimensional advection
• Compact finite difference schemes with spectral-like resolution
• A three-point combined compact difference scheme
• Optimized prefactored compact schemes.
• A fast solver of the shallow water equations on a sphere using a combined compact difference scheme.
• Blow-up phenomenon for the integrable Degasperis-Procesi equation
• Preserving energy resp. dissipation in numerical PDEs using the ``Average Vector Field method
• A Local Discontinuous Galerkin Method for the Camassa–Holm Equation
• Geometric integration using discrete gradients
• Sympletic Runge--Kutta Shemes I: Order Conditions
• Multi-peakon solutions of the Degasperis–Procesi equation
• An integrable shallow water equation with peaked solitons
• Nonlinear Comparison of High-order and Optimized Finite-difference Schemes
• A Local Discontinuous Galerkin Method for KdV Type Equations
• Prolongation algebras and Hamiltonian operators for peakon equations
• Local Discontinuous Galerkin Methods for the Degasperis-Procesi Equation
• Local Discontinuous Galerkin Methods for the Degasperis-Procesi Equation
• Numerical schemes for computing discontinuous solutions of the Degasperis Procesi equation
• Degasperis-Procesi peakons and the discrete cubic string
• Model equations for long waves in nonlinear dispersive systems

This page was built for publication: A dispersively accurate compact finite difference method for the Degasperis-Procesi equation