Search

Your search keyword '"Bendahmane, Mostafa"' showing total 1 results
Start Over Author "Bendahmane, Mostafa" Topic finite volume scheme Topic weak solution Journal mathematical models & methods in applied sciences

Refine your results

1 results on '"Bendahmane, Mostafa"'

1. A NUMERICAL ANALYSIS OF A REACTION–DIFFUSION SYSTEM MODELING THE DYNAMICS OF GROWTH TUMORS.

Author

ANAYA, VERÓNICA, BENDAHMANE, MOSTAFA, and SEPÚLVEDA, MAURICIO

Subjects
*CANCER cell growth, *NUMERICAL analysis, *MATHEMATICAL analysis, *GALERKIN methods, *FINITE volume method
Abstract

We consider a reaction–diffusion system of 2 × 2 equations modeling the spread of early tumor cells. The existence of weak solutions is ensured by a classical argument of Faedo–Galerkin method. Then, we present a numerical scheme for this model based on a finite volume method. We establish the existence of discrete solutions to this scheme, and we show that it converges to a weak solution. Finally, some numerical simulations are reported with pattern formation examples. [ABSTRACT FROM AUTHOR]

Published
2010
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results