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Original Articles

On computation of solution curves for semilinear elliptic problems

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Pages 219-231 | Published online: 02 Nov 2010
 

Abstract

We consider computation of solution curves for semilinear elliptic equations. In case solution is stable, we present an algorithm with monotone convergence, which is a considerable improvement of the corresponding schemes in [4] and [5]. For the unstable solutions, we show how to construct a fourth-order evolution equation, for which the same solution will be stable.

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