On the blow up of finite difference solutions to the heat-diffusion equation with semilinear dynamical boundary conditions

DOI10.1016/j.amc.2003.12.010zbMath1059.65074OpenAlexW2132132052MaRDI QIDQ1763220

Miglena N. Koleva, Lubin G. Vulkov

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2003.12.010

zbMATH Keywords

ConvergenceBlow upDynamical boundary conditionsFinite difference schemesBlow up rateBlow up setHeat-diffusion equation

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (3)

Blow-up of continuous and semidiscrete solutions to elliptic equations with semilinear dynamical boundary conditions of parabolic type ⋮ Efficient Spectral Collocation Algorithm for Solving Parabolic Inverse Problems ⋮ A remark on the blowup of solutions to the Laplace equations with nonlinear dynamical boundary conditions

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