On the numerical treatment and analysis of Benjamin–Bona–Mahony–Burgers equation

In this paper, the solution of Benjamin–Bona–Mahony–Burgers (BBMB) equation is approximated by using collocation method. Stability of the method is discussed. Also the convergence of the method is proved. The method is used on some examples, and the numerical results have been obtained and compared...

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Bibliographic Details
Published in:Applied mathematics and computation 2016-07, Vol.284, p.79-88
Main Authors: Zarebnia, M., Parvaz, R.
Format: Article
Language:English
Subjects:
Approximation
B-spline
Benjamin–Bona–Mahony–Burgers
Collocation
Collocation methods
Computation
Convergence
Exact solutions
Mathematical analysis
Mathematical models
Stability
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Summary:In this paper, the solution of Benjamin–Bona–Mahony–Burgers (BBMB) equation is approximated by using collocation method. Stability of the method is discussed. Also the convergence of the method is proved. The method is used on some examples, and the numerical results have been obtained and compared with the exact solutions.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2016.02.037