Studying singular solutions of a semilinear heat equation by a dilation rescaling numerical method

DOI10.1216/RMJM/1181072961zbMath0741.65098OpenAlexW1977087710MaRDI QIDQ1176411

Brenton J. LeMesurier

Publication date: 25 June 1992

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072961

zbMATH Keywords

nonlinear heat equationscalingsingular solutionscomputational studyspike solutionsdilation rescaling numerical methodrate of blowup

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Applications to the sciences (65Z05) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Cites Work

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• Asymptotically self‐similar blow‐up of semilinear heat equations
• An L^∞ blow‐up estimate for a nonlinear heat equation

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