Analysis and numerical solution of Benjamin-Bona-Mahony equation with moving boundary

DOI10.1016/j.amc.2010.01.023zbMath1187.65117OpenAlexW2010030703MaRDI QIDQ961564

B. E. Eshmatov

Publication date: 31 March 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.01.023

zbMATH Keywords

finite element methodmoving boundaryB-splinesBenjamin-Bona-Mahony equationCrank-Nicholson methodmethod of compactness

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Partial differential equations of mixed type and mixed-type systems of partial differential equations (35M99)

Related Items (4)

Analysis and computation of a nonlinear Korteweg-de Vries system ⋮ Numerical studies of the damped Korteweg-de Vries system ⋮ Soliton solution and bifurcation analysis of the KP–Benjamin–Bona–Mahoney equation with power law nonlinearity ⋮ Error estimates for a Galerkin numerical scheme applied to a generalized BBM equation

Cites Work

• On equations of Benjamin-Bona-Mahony type
• An initial- and boundary-value problem for a model equation for propagation of long waves
• Weak solutions for a nonlinear dispersive equation
• Beam equation with weak-internal damping in domain with moving boundary.
• Effect of moving boundaries on the vibrating elastic string.
• On the Benjamin-Bona-Mahony equation in higher dimensions
• Model equations for long waves in nonlinear dispersive systems
• A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
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