Bifurcation analysis of nonlinear reaction–diffusion problems using wavelet-based reduction techniques

2004 ◽  
Vol 28 (4) ◽  
pp. 557-574 ◽  
Author(s):  
J. Krishnan ◽  
O. Runborg ◽  
I.G. Kevrekidis
Keyword(s):  
Bifurcation Analysis ◽  
Reaction Diffusion ◽  
Reduction Techniques ◽  
Nonlinear Reaction ◽  
Diffusion Problems

Full discretization of some reaction diffusion equation with blow up

2006 ◽  
Vol 4 (2) ◽  
pp. 260-269
Author(s):  
Geneviève Barro ◽  
Benjamin Mampassi ◽  
Longin Some ◽  
Jean Ntaganda ◽  
Ousséni So
Keyword(s):  
Numerical Simulation ◽  
Diffusion Equation ◽  
Blow Up ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equation ◽  
Numerical Comparison ◽  
Full Discretization ◽  
Simulation Efficiency ◽  
Nonlinear Reaction ◽  
Diffusion Problems

AbstractThis 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.

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