A <scp>F</scp>ourier pseudospectral method for a generalized improved <scp>B</scp>oussinesq equation

DOI10.1002/num.21928zbMath1331.65144arXiv1507.08410OpenAlexW2138206655WikidataQ115398168 ScholiaQ115398168MaRDI QIDQ3448346

Gulcin M. Muslu, Handan Borluk

Publication date: 23 October 2015

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.08410

zbMATH Keywords

convergencesolitary wavesblow-upRunge-Kutta schemesemidiscrete schemenumerical experimentFourier pseudospectral methodfully discrete schemeimproved Boussinesq equationcollision of solitary waves

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (7)

New energy-preserving schemes using Hamiltonian boundary value and Fourier pseudospectral methods for the numerical solution of the ``good Boussinesq equation ⋮ Convergence of a semi-discrete numerical method for a class of nonlocal nonlinear wave equations ⋮ An exponential integrator sine pseudospectral method for the generalized improved Boussinesq equation ⋮ Higher order dispersive effects in regularized Boussinesq equation ⋮ Numerical solution for a general class of nonlocal nonlinear wave equations arising in elasticity ⋮ A meshless finite point method for the improved Boussinesq equation using stabilized moving least squares approximation and Richardson extrapolation ⋮ Compact structure-preserving algorithm with high accuracy extended to the improved Boussinesq equation

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