An implicit Douglas algorithm for a nonlinear singular quenching problem

DOI10.1016/S0893-9659(97)00128-6zbMath1075.65516MaRDI QIDQ2565580

John W. Mooney

Publication date: 27 September 2005

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

Finite differencesMonotone iterationsQuenching times

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (1)

The behavior of a finite difference approximation to a singular initial boundary value problem

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
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• On solutions of initial -boundary problem for \(u_t=u_{xx}+1/(1-u)\)
• Moving Mesh Methods for Problems with Blow-Up
• Numerical schemes for degenerate boundary value problems
• On the nonlinear equations Δ𝑢+𝑒^{𝑢}=0 and ∂𝑣/∂𝑡=Δ𝑣+𝑒^{𝑣}

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