Publication Cover
Applicable Analysis
An International Journal
Volume 76, 2000 - Issue 1-2
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Original Articles

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

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Pages 115-130 | Published online: 02 May 2007
 

Abstract

We develop difference approximations to a singular parabolic initial-boundary value problem and its corresponding steady-state problem. A critical value for the existence of nonnegative solutions to the discrete steady state system is established. Convergence of the computed critical values is obtained. The long time behavior for the approximated solution of the parabolic problem is investigated. It is shown that the behavior of the discrete system is consistent with that of the continuous one

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