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Numerical investigation of quenching for a nonlinear diffusion equation with a singular Neumann boundary condition
Author(s) -
Christov C. I.,
Deng K.
Publication year - 2002
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.10013
Subject(s) - neumann boundary condition , mathematics , boundary value problem , mathematical analysis , nonlinear system , quenching (fluorescence) , partial differential equation , boundary (topology) , mixed boundary condition , singular boundary method , robin boundary condition , diffusion , boundary element method , thermodynamics , physics , finite element method , quantum mechanics , fluorescence
For a nonlinear diffusion equation with a singular Neumann boundary condition, we devise a difference scheme which represents faithfully the properties of the original continuous boundary value problem. We use non‐uniform mesh in order to adequately represent the spatial behavior of the quenching solution near the boundary. © 2002 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 18: 429–440, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/num.10013