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- W1968659319 abstract "We study numerical approximations of solutions of the following system of heat equations, coupled at the boundary through a nonlinear flux: where p and q are parameters. We prove that the solutions of a semidiscretization in space quench in finite time. Moreover, we describe in terms of p and q the simultaneous versus non-simultaneous quenching phenomena. We also find the numerical extinction sets. Finally, in order to obtain the correct quenching rates in the non-simultaneous case we present some adaptive methods. Copyright © 2009 John Wiley & Sons, Ltd." @default.
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- W1968659319 date "2009-12-01" @default.
- W1968659319 modified "2023-10-18" @default.
- W1968659319 title "Numerical quenching of a system of equations coupled at the boundary" @default.
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- W1968659319 doi "https://doi.org/10.1002/mma.1145" @default.
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