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Nonlinear Systems and Complexity

Numerical Solutions of Realistic Nonlinear Phenomena

Editors: Machado, J. A. Tenreiro, Özdemir, Necati, Baleanu, Dumitru (Eds.)

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  • Presents new concepts to understand dynamical systems and develop modelling techniques
  • Describes influence of fractional operators on modelling complex features of real-world problems
  • Analyzes the epidemic of spreading models
  • Introduces new hybrid methods for global and constrained optimization
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eBook $129.00
price for USA in USD (gross)
  • ISBN 978-3-030-37141-8
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Hardcover $169.99
price for USA in USD
  • ISBN 978-3-030-37140-1
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  • Usually dispatched within 3 to 5 business days.
About this book

This collection covers new aspects of numerical methods in applied mathematics, engineering, and health sciences. It provides recent theoretical developments and new techniques based on optimization theory, partial differential equations (PDEs), mathematical modeling and fractional calculus that can be used to model and understand complex behavior in natural phenomena. Specific topics covered in detail include new numerical methods for nonlinear partial differential equations, global optimization, unconstrained optimization, detection of HIV- Protease, modelling with new fractional operators, analysis of biological models, and stochastic modelling.


About the authors

Jose A. Tenreiro Machado is a Professor at the Institute of Engineering, Polytechnic of Porto, Portugal; Necati Özdemir is a Professor with the Department of Mathematics, Balıkesir University, Balıkesir, Turkey; Dumitru Baleanu is a Professor with the Department of Mathematics, Çankaya University, Ankara, Turkey and the Institute of Space Sciences, Magurele-Bucharest, Romania.

Table of contents (12 chapters)

Table of contents (12 chapters)
  • Monotone Iterative Technique for Non-autonomous Semilinear Differential Equations with Non-instantaneous Impulses

    Pages 1-23

    Meraj, Arshi (et al.)

  • An Extrapolated Crank Nicholson VMS-POD Method for Darcy Brinkman Equations

    Pages 25-51

    Eroglu, Fatma G. (et al.)

  • Comparison of Exact and Numerical Solutions for the Sharma–Tasso–Olver Equation

    Pages 53-65

    Kaya, Doğan (et al.)

  • A Linear B-Spline Approximation for a Class of Nonlinear Time and Space Fractional Partial Differential Equations

    Pages 67-85

    Moghaddam, Behrouz Parsa (et al.)

  • Escaping from Current Minimizer by Using an Auxiliary Function Smoothed by Bezier Curves

    Pages 87-105

    Sahiner, Ahmet (et al.)

Buy this book

eBook $129.00
price for USA in USD (gross)
  • ISBN 978-3-030-37141-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-3-030-37140-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Numerical Solutions of Realistic Nonlinear Phenomena
Editors
  • J. A. Tenreiro Machado
  • Necati Özdemir
  • Dumitru Baleanu
Series Title
Nonlinear Systems and Complexity
Series Volume
31
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-37141-8
DOI
10.1007/978-3-030-37141-8
Hardcover ISBN
978-3-030-37140-1
Series ISSN
2195-9994
Edition Number
1
Number of Pages
VIII, 233
Number of Illustrations
10 b/w illustrations, 26 illustrations in colour
Topics