A NUMERICAL ANALYSIS OF A REACTION–DIFFUSION SYSTEM MODELING THE DYNAMICS OF GROWTH TUMORS
2010 ◽
Vol 20
(05)
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pp. 731-756
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Keyword(s):
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.
2009 ◽
Vol 32
(17)
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pp. 2267-2286
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2012 ◽
Vol 13
(5)
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pp. 1991-2005
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Keyword(s):
2013 ◽
Vol 46
(1)
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pp. 1-13
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Keyword(s):
2005 ◽
Vol 307
(2)
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pp. 415-432
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Keyword(s):
2014 ◽
Vol 248
◽
pp. 184-194
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2005 ◽
Vol 2
(2)
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pp. 227-238
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Keyword(s):
2010 ◽
Vol 69
(2-3)
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pp. 261-276
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Keyword(s):
2009 ◽
Vol 60
(6)
◽
pp. 765-796
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2010 ◽
Vol 62
(3)
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pp. 391-421
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Keyword(s):