Difference approximations to interface curves for nonlinear diffusion equations with absorption

DOI10.1016/0893-9659(92)90011-WzbMath0760.65089OpenAlexW2036214869MaRDI QIDQ1206209

Tatsuyuki Nakaki, Kenji Tomoeda

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1016/0893-9659(92)90011-w

zbMATH Keywords

convergencenonlinear reaction-diffusion equationsdifference approximationsinterface curves

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) 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

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• Thermal waves in an absorbing and convecting medium
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• On the diffusion of biological populations
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• Nonlinear Heat Conduction with Absorption: Space Localization and Extinction in Finite Time
• An Interface Tracking Algorithm for the Porous Medium Equation
• A numerical approach to interface curves for some nonlinear diffusion equations
• Positivity versus localization in degenerate diffusion equations
• The One-Dimensional Nonlinear Heat Equation with Absorption: Regularity of Solutions and Interfaces
• A Finite Difference Approach to Some Degenerate Nonlinear Parabolic Equations
• DIFFUSION FROM AN INSTANTANEOUS POINT SOURCE WITH A CONCENTRATION-DEPENDENT COEFFICIENT

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