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On the blow-up time convergence of semidiscretizations of reaction-diffusion equations. (English) Zbl 0929.65070

Semidiscrete forms of the initial boundary value problem for the equation \(u_t= u_{xx}+ f(u)\) are considered, obtaining results on the convergence of the numerical blow-up times to the theoretical limit as the mesh is refined.

MSC:

65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
65M20 Method of lines for initial value and initial-boundary value problems involving PDEs
35K57 Reaction-diffusion equations
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References:

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