Nonlinear eigenvalue problems with symmetry

Muhammed I. Syam, Hani A. Khashan and Qasem M. Al-Mdallal

Chaos, Solitons & Fractals, 2008, vol. 35, issue 5, 931-941

Abstract: In this paper we use the conjugate gradient predictor corrector method (CGPCM) in the context of continuation methods. By exploiting symmetry in certain nonlinear eigenvalue problems, we can decompose the centered difference discretization matrices into small ones and reduce computational cost. We use the cyclic group of order two to divide the system into two smaller systems. We reduce the cost and the computational time by combining CGPCM with the idea of the exploiting symmetries. Theoretical and numerical results are presented. Conclusions are given.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:35:y:2008:i:5:p:931-941

DOI: 10.1016/j.chaos.2006.05.083

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