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Adapted numerical modelling of the Belousov–Zhabotinsky reaction

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Abstract

Adapted numerical schemes for the integration of differential equations generating periodic wavefronts have reported benefits in terms of accuracy and stability. This work is focused on differential equations modelling chemical phenomena which are characterized by an oscillatory dynamics. The adaptation is carried out through the exponential fitting technique, which is specially suitable to follow the apriori known qualitative behavior of the solution. In particular, we have merged this strategy with the information coming from existing theoretical studies and especially the observation of time series. Numerical tests will be provided to show the effectiveness of this problem-oriented approach.

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Acknowledgements

Raffaele D’Ambrosio, Martina Moccaldi and Beatrice Paternoster are members of the INdAM Research group GNCS. The work is supported by GNCS-Indam project.

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Authors and Affiliations

  1. Department of Engineering and Computer Science and Mathematics, University of L’Aquila, L’Aquila, Italy

    Raffaele D’Ambrosio

  2. Department of Mathematics, University of Salerno, Fisciano, SA, Italy

    Martina Moccaldi & Beatrice Paternoster

  3. Department of Chemistry and Biology, University of Salerno, Fisciano, SA, Italy

    Federico Rossi

Authors
  1. Raffaele D’Ambrosio
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  2. Martina Moccaldi
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  3. Beatrice Paternoster
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  4. Federico Rossi
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Correspondence to Raffaele D’Ambrosio.

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D’Ambrosio, R., Moccaldi, M., Paternoster, B. et al. Adapted numerical modelling of the Belousov–Zhabotinsky reaction. J Math Chem 56, 2876–2897 (2018). https://doi.org/10.1007/s10910-018-0922-5

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  • DOI: https://doi.org/10.1007/s10910-018-0922-5

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