Fourier spectral methods for Degasperis-Procesi equation with discontinuous solutions

DOI10.1007/s10915-014-9839-8zbMath1315.76023OpenAlexW2022727008MaRDI QIDQ487706

Yinhua Xia

Publication date: 23 January 2015

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-014-9839-8

zbMATH Keywords

Gegenbauer reconstructionFourier-Galerkin method\(L(2)\)-stabilityFourier collocation method

Mathematics Subject Classification ID

Solitary waves for incompressible inviscid fluids (76B25) Spectral methods applied to problems in fluid mechanics (76M22) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (12)

High Order Finite Difference WENO Methods with Unequal-Sized Sub-Stencils for the Degasperis-Procesi Type Equations ⋮ Conservative Fourier spectral scheme for higher order Klein-Gordon-Schrödinger equations ⋮ Numerical solution of the Degasperis-Procesi equation by the cubic B-spline quasi-interpolation method ⋮ Conservative Fourier spectral scheme for the coupled Schrödinger-Boussinesq equations ⋮ Multi-quadric quasi-interpolation method coupled with FDM for the Degasperis-Procesi equation ⋮ A Splitting Method for the Degasperis--Procesi Equation Using an Optimized WENO Scheme and the Fourier Pseudospectral Method ⋮ A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations ⋮ Adaptive moving knots meshless method for Degasperis-Procesi equation with conservation laws ⋮ Local discontinuous Galerkin methods for the \(\mu \)-Camassa-Holm and \(\mu \)-Degasperis-Procesi equations ⋮ A view of the peakon world through the lens of approximation theory ⋮ Numerical study of high order nonlinear dispersive PDEs using different RBF approaches ⋮ Conservative Fourier pseudo-spectral schemes for general Klein–Gordon–Schrödinger equations

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