The solution of the Boussinesq equation using the method of lines

The method of lines is used to transform the initial/boundary-value problem associated with the nonlinear hyperbolic Boussinesq equation, into a first-order, nonlinear, initial-value problem. Numerical methods are developed by replacing the matrix-exponential term in a recurrence relation by rationa...

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering 1998-04, Vol.157 (1), p.33-44
Main Author: Bratsos, A.G.
Format: Article
Language:English
Subjects:
Computational techniques
Dynamics of the ocean (upper and deep oceans)
Earth, ocean, space
Exact sciences and technology
External geophysics
Finite-difference methods
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Hydrodynamic waves
Mathematical methods in physics
Physics
Physics of the oceans
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Summary:The method of lines is used to transform the initial/boundary-value problem associated with the nonlinear hyperbolic Boussinesq equation, into a first-order, nonlinear, initial-value problem. Numerical methods are developed by replacing the matrix-exponential term in a recurrence relation by rational approximants. The resulting finite-difference methods are analysed for local truncation errors, stability and convergence. The results of a number of numerical experiments are given.
ISSN:0045-7825
1879-2138
DOI:10.1016/S0045-7825(97)00211-9