Editors:
- 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
Part of the book series: Nonlinear Systems and Complexity (NSCH, volume 31)
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Table of contents (12 chapters)
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Front Matter
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Back Matter
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.
Keywords
- Nonlinear partial differential equations
- Fractional order differential equations
- Non-singular fractional operators
- Burger-Fisher equation
- Abel integral equations
- Global optimization
- Unconstrained differentiable optimization
- Auxiliary function methods
- Hybrid methods for optimization
- Hidden Markov models
- Particle swarm optimization
- Mathematical finance
- Asset price dynamics
- Epidemic models
- complexity
- partial differential equations
Editors and Affiliations
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Institute of Engineering, Polytechnic of Porto, Porto, Portugal
J. A. Tenreiro Machado
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Department of Mathematics, Balıkesir University, Balıkesir, Turkey
Necati Özdemir
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Department of Mathematics & Computer Science, Çankaya University, Ankara, Turkey
Dumitru Baleanu
About the editors
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
DOI: https://doi.org/10.1007/978-3-030-37141-8
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-37140-1Published: 20 February 2020
Softcover ISBN: 978-3-030-37143-2Published: 20 February 2021
eBook ISBN: 978-3-030-37141-8Published: 19 February 2020
Series ISSN: 2195-9994
Series E-ISSN: 2196-0003
Edition Number: 1
Number of Pages: VIII, 233
Number of Illustrations: 10 b/w illustrations, 26 illustrations in colour
Topics: Mathematical Applications in the Physical Sciences, Complexity, Computational Science and Engineering, Applications of Nonlinear Dynamics and Chaos Theory, Partial Differential Equations