On computation of solution curves for semilinear elliptic problems |
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| Authors: | Philip Korman Tiancheng Ouyang |
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| Institution: | 1. Institute for Dynamics and Department of Mathematical Sciences , University of Cincinnati , Cincinnati, Ohio, 45221-0025;2. Department of Mathematics , Brigham Young University , Provo, Utah, 84602 |
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| 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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| Keywords: | 65L10 65N20 |
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