Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5500370 | Physica D: Nonlinear Phenomena | 2017 | 39 Pages |
Abstract
In this work, we study the numerical solution for parabolic equations whose solutions have a common property of blowing up in finite time and the equations are invariant under the following scaling transformation uâ¦uλ(x,t):=λ2pâ1u(λx,λ2t). For that purpose, we apply the rescaling method proposed by Berger and Kohn (1988) to such problems. The convergence of the method is proved under some regularity assumption. Some numerical experiments are given to derive the blow-up profile verifying henceforth the theoretical results.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
V.T. Nguyen,