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2017 | OriginalPaper | Chapter

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

Author : Ivan Zelinka

Published in: Advances in Unconventional Computing

Publisher: Springer International Publishing

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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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Metadata
Title
On Synthesis and Solutions of Nonlinear Differential Equations—A Bio-Inspired Approach
Author
Ivan Zelinka
Copyright Year
2017
Book
Advances in Unconventional Computing

Print ISBN: 978-3-319-33920-7

Electronic ISBN: 978-3-319-33921-4

Copyright Year: 2017

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

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