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An Efficient Pseudo-Spectral Method for Nonsmooth Dynamical Systems

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Abstract

In this paper, we present a new approach for solving nonsmooth dynamical systems. We first convert the nonsmooth system to the smooth form, using Chebyshev interpolation. Then, we solve the smooth system using Chebyshev pseudo-spectral method. The efficiency of our approach is shown for two practical nonsmooth mechanical systems.

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Authors and Affiliations

  1. Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran

    M. Ghaznavi & M. H. Noori Skandari

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  1. M. Ghaznavi
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  2. M. H. Noori Skandari
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Correspondence to M. H. Noori Skandari.

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Ghaznavi, M., Skandari, M.H.N. An Efficient Pseudo-Spectral Method for Nonsmooth Dynamical Systems. Iran J Sci Technol Trans Sci 42, 635–646 (2018). https://doi.org/10.1007/s40995-016-0040-9

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  • DOI: https://doi.org/10.1007/s40995-016-0040-9

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