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On Synthesis and Solutions of Nonlinear Differential Equations—A Bio-Inspired Approach

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Advances in Unconventional Computing

Part of the book series: Emergence, Complexity and Computation ((ECC,volume 23))

Abstract

This chapter discusses an alternative approach for mathematical-physical problems solution by means of bio-inspired methods, especially by evolutionary algorithms. Two different approaches are demonstrated here. The first one is the use of evolutionary algorithms on design, parameter estimation and control of the chemical reactor that is represented by 5 nonlinear and mutually joined differential equations, the second one is the use of analytic programming (method of the same class as genetic programming or grammatical evolution) to solve two different differential equations (4th and 2nd order), that represent problems from civil engineering by appropriate function synthesis. Theoretical background as well as applications are discusses here.

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Acknowledgments

The following grants are acknowledged for the financial support provided for this research: Grant Agency of the Czech Republic–GACR P103/15/06700S, VSB-TU internal grant SGS 2016/175 and by The Ministry of Education, Youth and Sports from the National Programme of Sustainability (NPU II) project "IT4Innovations excellence in science–LQ1602".

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Authors and Affiliations

  1. Faculty of Electrical Engineering and Computer Science, Department of Computer Science, VSB-TU, 17. Listopadu 15, Ostrava-Poruba, Czech Republic

    Ivan Zelinka

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  1. Ivan Zelinka
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Correspondence to Ivan Zelinka .

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  1. Unconventional ComputingCentre, University of the Westof England Unconventional ComputingCentre, Bristol, United Kingdom

    Andrew Adamatzky

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Zelinka, I. (2017). On Synthesis and Solutions of Nonlinear Differential Equations—A Bio-Inspired Approach. In: Adamatzky, A. (eds) Advances in Unconventional Computing. Emergence, Complexity and Computation, vol 23. Springer, Cham. https://doi.org/10.1007/978-3-319-33921-4_9

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  • DOI: https://doi.org/10.1007/978-3-319-33921-4_9

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-33920-7

  • Online ISBN: 978-3-319-33921-4

  • eBook Packages: EngineeringEngineering (R0)

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