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MSC: 35B44, 35K59, 65M99
Blow-up rate, type II blow-up, numerical estimate, scale invariance, rescaling algorithm, curvature flow
In this paper, we consider the blow-up solutions for a quasilinear parabolic partial differential equation $u_t = u^2(u_{xx}+u)$. We numerically investigate the blow-up rates of these solutions by using a numerical method which is recently proposed by the authors [3].
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