The Fourier pseudo-spectral method for the SRLW equation

DOI10.1007/BF02013752zbMath0729.65074OpenAlexW2007555891MaRDI QIDQ806991

Rufen Zhang, Ben-yu Guo, Jia-dong Zheng

Publication date: 1989

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02013752

zbMATH Keywords

stabilitysymmetric regularized long wave equationFourier pseudo-spectral methodoptimum error estimates

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (11)

Convergence analysis of the higher-order global mass-preserving numerical method for the symmetric regularized long-wave equation ⋮ A new linearized fourth-order conservative compact difference scheme for the SRLW equations ⋮ Analysis of Chebyshev pseudospectral method for multi-dimensional generalized SRLW equations ⋮ Conservative schemes for the symmetric regularized long wave equations ⋮ A dissipative finite difference Fourier pseudo-spectral method for the symmetric regularized long wave equation with damping mechanism ⋮ Mixed finite element analysis for dissipative SRLW equations with damping term ⋮ A decoupled and conservative difference scheme with fourth-order accuracy for the symmetric regularized long wave equations ⋮ Numerical implementation for solving the symmetric regularized long wave equation ⋮ C-N difference schemes for dissipative symmetric regularized long wave equations with damping term ⋮ Unnamed Item ⋮ Orbital stability of solitary waves for generalized symmetric regularized-long-wave equations with two nonlinear terms

Cites Work

• Unnamed Item
• The Fourier pseudospectral method with a restrain operator for the Korteweg-de Vries equation
• A symmetric regularized-long-wave equation
• The Fourier Pseudospectral Method for Two-Dimensional Vorticity Equations
• Spectral and Pseudo Spectral Methods for Advection Equations

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