JP Journal of Heat and Mass Transfer
Volume 2, Issue 2, Pages 205 - 216
(June 2008)
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CONVERGENCE OF A NUMERICAL SCHEME FOR SOLVING SLOW DIFFUSION EQUATIONS
Geneviève Barro-Kabre (Burkina Faso), Ousséni So (Burkina Faso), Ousseynou Nakoulima (France) and Blaise Some (Burkina Faso)
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Abstract: In this paper the authors show the convergence of a numerical scheme for solving nonlinear reaction diffusion problems with a convection that blows up in a finite time. The existence and the properties of the numerical solution are developed in [2, 4]. Numerical simulations have shown that this scheme is very efficient to solve this problem (see [2]). |
Keywords and phrases: convergence, slow diffusion equation, nonlinear parabolic problems, blow up. |
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