Czasopismo
Tytuł artykułu
Warianty tytułu
Języki publikacji
Abstrakty
This paper aims at the development of numerical schemes for nonlinear reaction diffusion problems with a convection that blows up in a finite time. A full discretization of this problem that preserves the blow - up property is presented as well as a numerical simulation. Efficiency of the method is derived via a numerical comparison with a classical scheme based on the Runge Kutta scheme.
Wydawca
Czasopismo
Rocznik
Tom
Numer
Strony
260-269
Opis fizyczny
Daty
wydano
2006-06-01
online
2006-06-01
Twórcy
autor
- Université de Ouagadougou
autor
- Université Cheikh Anta Diop
autor
- Université de Ouagadougou
autor
- Université Cheikh Anta Diop
autor
- Université de Ouagadougou
Bibliografia
- [1] H. Amann: “On the existence of positive solutions of nonlinear elliptic boundary value problems”, Indiana Univ. Math. J., Vol. 21, (1971), p. 125. http://dx.doi.org/10.1512/iumj.1971.21.21012
- [2] M. Chlebik and M. Fila: “Blow-up of positive solutions of a semilinear parabolic equation with a gradient term.”, Dyn. Contin. Discrete Impulsive Syst., Vol. 10, (2003), pp. 525–537.
- [3] V.A. Galaktionov and J.L. Vàzquez: “The problem of blow-up in nonlinear parabolic equations”, Discrete Cont. Dyn. S., Vol 8(2), (2002).
- [4] M.N. Le Roux: “Numerical solution of fast or slow diffusion equations”, J. Comput. Appl. Math., Vol. 97, (1998), pp. 121–136.
- [5] M.N. Le Roux: “Semidiscretization in time of nonlinear parabolic equations with blow up of the solution”, Siam J. Numer. Anal., Vol. 31, (1994), pp. 170–195.
- [6] M.N. Le Roux and H. Wilhelmsson: “Simultaneous diffusion, reaction and radiative loss processes in plasmas: numerical analysis with application to the dynamics of a fusion reactor plasma”, Phys. Scripta, Vol. 45, (1992), pp. 188–192.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_1007_s11533-006-0002-0