Stable spectral collocation solutions to a class of Benjamin Bona Mahony initial value problems

DOI10.1016/j.amc.2015.10.078zbMath1410.65394OpenAlexW2176800203MaRDI QIDQ668581

Călin-Ioan Gheorghiu

Publication date: 19 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.10.078

zbMATH Keywords

method of linesregularized long wave equationenergy conservationLax stabilityscaled Hermite collocation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items

Unnamed Item, On the numerical treatment of the eigenparameter dependent boundary conditions, A new approach for numerical solution of modified Korteweg-de Vries equation, Unnamed Item

Uses Software

• Matlab
• Octave
• DLMF
• Differentiation Matrix Suite

Cites Work

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• Finite volume schemes for dispersive wave propagation and runup
• Stiffness of ODEs
• Stability of the method of lines
• The convergence of fully discrete Galerkin approximations for the Benjamin--Bona--Mahony (BBM) equation
• Summary of Sinc numerical methods
• Error estimates for a Galerkin method for a class of model equations for long waves
• Pseudospectral solutions to some singular nonlinear BVPs
• Spectral Methods in MATLAB
• Fourth-Order Time-Stepping for Stiff PDEs
• Spectral Methods for Non-Standard Eigenvalue Problems
• Finite difference discretization of the Benjamin‐Bona‐Mahony‐Burgers equation
• Model equations for long waves in nonlinear dispersive systems