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- W1991357100 abstract "The purpose of this paper is to extend the theory by Kolmogorov, Petrowsky and Piscunov (KPP) for Fisher's equation, to a discrete solution. We approximate the time derivative in Fisher's equation by an explicit Euler scheme and the diffusion operator by a symmetric difference scheme of second order. We prove that the discrete solution converges towards a traveling wave, under restrictions in the time-and space-widths, as the number of time steps increases to infinity. We also prove that the flame velocity can be determined as a solution to an optimization problem." @default.
- W1991357100 created "2016-06-24" @default.
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- W1991357100 date "2012-08-21" @default.
- W1991357100 modified "2023-10-18" @default.
- W1991357100 title "A discrete KPP-theory for Fisher’s equation" @default.
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- W1991357100 doi "https://doi.org/10.1090/s0025-5718-2012-02642-1" @default.
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