Semidiscretization in Space of Nonlinear Degenerate Parabolic Equations with Blow-up of the Solutions

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Abstract

Semidiscretization in space of nonlinear degenerate parabolic equations of nondivergent form is presented, under zero Dirichlet boundary condition. It is shown that semidiscrete solutions blow up in finite time. In particular, the asymptotic behavior of blowing-up solutions, is discussed precisely.

Keywords:

Semi-discrete problem Blow-up of solutions Blow-up rate Blow-up set Limiting profile.
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Semidiscretization in Space of Nonlinear Degenerate Parabolic Equations with Blow-up of the Solutions. (2021). Journal of Computational Mathematics, 18(6), 571-586. https://www.global-sci.com/index.php/JCM/article/view/11392