Numerical study of the Benjamin-Bona-Mahony-Burgers equation
Zarebnia, M.
Boletim da Sociedade Paranaense de Matemática, Tome 34 (2015), / Harvested from Portal de Periódicos da UEM
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In this paper, the quadratic B-spline collocation methodis implemented to find numerical solution of theBenjamin-Bona-Mahony-Burgers (BBMB) equation. Applying theVon-Neumann stability analysis technique, we show that the method is unconditionally stable. Also the convergence of the method is proved. The method is applied on some testexamples, and numerical results have been compared with theexact solution. The numerical solutions show theefficiency of the method computationally.

Publié le : 2015-01-01
DOI : https://doi.org/10.5269/bspm.v35i1.28804 
@article{28804,
     title = {Numerical study of the Benjamin-Bona-Mahony-Burgers equation},
     journal = {Boletim da Sociedade Paranaense de Matem\'atica},
     volume = {34},
     year = {2015},
     doi = {10.5269/bspm.v35i1.28804},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/28804}
}

Zarebnia, M. Numerical study of the Benjamin-Bona-Mahony-Burgers equation. Boletim da Sociedade Paranaense de Matemática, Tome 34 (2015) . doi : 10.5269/bspm.v35i1.28804. http://gdmltest.u-ga.fr/item/28804/