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Numerical investigation of quenching for a nonlinear diffusion equation with a singular Neumann boundary condition

✍ Scribed by C. I. Christov; K. Deng

Publisher: John Wiley and Sons
Year: 2002
Tongue: English
Weight: 164 KB
Volume: 18
Category: Article
ISSN: 0749-159X
DOI: 10.1002/num.10013

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✦ Synopsis

Abstract

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

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