Numerical quenching for the semilinear heat equation with a singular absorption

DOI10.1016/J.CAM.2008.08.041zbMath1167.65048OpenAlexW2016736850MaRDI QIDQ1019773

Raúl Ferreira

Publication date: 28 May 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.08.041

zbMATH Keywords

numerical examplessemilinear heat equationnumerical quenchingsingular absorption

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Maximum principles in context of PDEs (35B50) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (3)

On quenching for some parabolic problems with combined power-type nonlinearities ⋮ Quenching for a reaction-diffusion system with coupled inner singular absorption terms ⋮ A Revisit of the Semi-Adaptive Method for Singular Degenerate Reaction-Diffusion Equations

Cites Work

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• Continuous data dependence, regularization, and a three lines theorem for the heat equation with data in a space-like direction
• Totally discrete explicit and semi-implicit Euler methods for a blow-up problem in several space dimensions
• Numerical solution of quenching problems using mesh-dependent variable temporal steps
• On solutions of initial -boundary problem for \(u_t=u_{xx}+1/(1-u)\)
• An adaptive grid method for degenerate semilinear quenching problems
• On the quenching behavior of the solution of a semilinear parabolic equation
• On the quenching rate estimate
• Quenching on the boundary

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