Analysis of Chebyshev pseudospectral method for multi-dimensional generalized SRLW equations

DOI10.1007/BF02438106zbMath1145.76412OpenAlexW2355904882MaRDI QIDQ1890369

Yadong Shang, Bo-ling Guo

Publication date: 3 January 2005

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

Full work available at URL: https://doi.org/10.1007/bf02438106

zbMATH Keywords

error estimateinitial and boundary value problemChebyshev pseudospectral methodmulti-dimensional generalized SRLW equation

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Spectral methods applied to problems in fluid mechanics (76M22) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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)

Related Items (6)

Convergence analysis of the higher-order global mass-preserving numerical method for the symmetric regularized long-wave equation ⋮ Optimal control of attitude for coupled-rigid-body spacecraft via Chebyshev-Gauss pseudospectral method ⋮ Coupled and decoupled high‐order accurate dissipative finite difference schemes for the dissipative generalized symmetric regularized long wave equations ⋮ Numerical implementation for solving the symmetric regularized long wave equation ⋮ \(L^{\infty }\) error bound of conservative compact difference scheme for the generalized symmetric regularized long-wave (GSRLW) equations ⋮ Galerkin finite element methods for two-dimensional RLW and SRLW equations

Cites Work

• The Fourier pseudo-spectral method for the SRLW equation
• Numerical solutions of the improved Boussinesq equation
• The existence of global solution and ``blow up phenomenon for a system of multidimensional symmetric regularized wave equations
• Stability and instability of solitary waves for generalized symmetric regularized-long-wave equations
• A symmetric regularized-long-wave equation
• Solitary waves on nonlinear elastic rods. I
• Spectral Methods and Their Applications
• Analysis of Chebyshev Collocation Methods for Parabolic Equations
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