Parallel implementation of the split-step and the pseudospectral methods for solving higher KdV equation

DOI10.1016/S0378-4754(02)00188-XzbMath1016.65071OpenAlexW2082067370MaRDI QIDQ1869169

Jinhua Guo, Thiab R. Taha

Publication date: 9 April 2003

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4754(02)00188-x

zbMATH Keywords

pseudospectral methodKdV equationparallel algorithmsKorteweg-de Vries equationsplit-step methodFast Fourier transformself-focusing singularitysplit-step Fourier transform

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Numerical methods for discrete and fast Fourier transforms (65T50) Parallel numerical computation (65Y05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (2)

Propagation of \(sech^2\)-type solitary waves in hierarchical KdV-type systems ⋮ Consistency verification in transaction-based optimistic steering of distributed computations

Uses Software

• FFTW

Cites Work

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• Analytical and numerical aspects of certain nonlinear evolution equations. III. Numerical, Korteweg-de Vries equation
• Fully discrete galerkin methods for the korteweg-de vries equation
• Stability and instability of solitary waves of Korteweg-de Vries type
• A numerical and theoretical study of certain nonlinear wave phenomena

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