On the computation of the numerical blow-up time

DOI10.1007/s13160-013-0101-9zbMath1268.65100OpenAlexW2020204951MaRDI QIDQ351463

Chien-Hong Cho

Publication date: 11 July 2013

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

Full work available at URL: https://doi.org/10.1007/s13160-013-0101-9

zbMATH Keywords

finite difference methodblow-upnumerical blow-up time

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference and finite volume methods for ordinary differential equations (65L12)

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Cites Work

• On the convergence of numerical blow-up time for a second order nonlinear ordinary differential equation
• Totally discrete explicit and semi-implicit Euler methods for a blow-up problem in several space dimensions
• Blowing up of a finite difference solution to \(u_t=u_{xx}+u^2\)
• Blowup in diffusion equations: A survey
• On the finite difference approximation for a parabolic blow-up problem
• The Role of Critical Exponents in Blowup Theorems
• The Euler method in the numerical integration of reaction-diffusion problems with blow up
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