Numerical Computation of Bounded Solutions for a Semilinear Elliptic Equation on an Infinite Strip

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Abstract

In this paper, we consider the computation of bounded solutions of a semilinear elliptic equation on an infinite strip. The dynamical system approach and reduction on center manifold are used to overcome the difficulties in numerical procedure.

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Numerical method Nonlinear PDE Center manifold.
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Numerical Computation of Bounded Solutions for a Semilinear Elliptic Equation on an Infinite Strip. (1999). Journal of Computational Mathematics, 17(2), 159-170. https://gsp.tricubic.dev/JCM/article/view/15585