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

DOI10.1080/00036810008840870zbMath1021.65045OpenAlexW2021870828MaRDI QIDQ2729501

Azmy S. Ackleh, Lan Ke

Publication date: 22 July 2001

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810008840870

zbMATH Keywords

convergencelong-time behaviornonnegative solutionsdifference approximationparabolic problemsingular initial-boundary value problem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Cites Work

• Unnamed Item
• On solutions of initial -boundary problem for \(u_t=u_{xx}+1/(1-u)\)
• Parabolic quenching for nonsmooth convex domains
• An implicit Douglas algorithm for a nonlinear singular quenching problem
• Quenching phenomena for singular nonlinear parabolic equations
• The Quenching of Solutions of Some Nonlinear Parabolic Equations
• On the global existence of solutions of parabolic differential equations with a singular nonlinear term

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