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Numerical Solutions of Realistic Nonlinear Phenomena

  • Book
  • © 2020

Overview

Editors:
  1. J. A. Tenreiro Machado

    1. Institute of Engineering, Polytechnic of Porto, Porto, Portugal

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  2. Necati Özdemir

    1. Department of Mathematics, Balıkesir University, Balıkesir, Turkey

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    You can also search for this editor in PubMed   Google Scholar

  3. Dumitru Baleanu

    1. Department of Mathematics & Computer Science, Çankaya University, Ankara, Turkey

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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

Part of the book series: Nonlinear Systems and Complexity (NSCH, volume 31)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-viii
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  2. Monotone Iterative Technique for Non-autonomous Semilinear Differential Equations with Non-instantaneous Impulses

    • Arshi Meraj, Dwijendra Narain Pandey
    Pages 1-23

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

    • Fatma G. Eroglu, Songul Kaya Merdan
    Pages 25-51

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

    • Doğan Kaya, Asıf Yokuş, Uğur Demiroğlu
    Pages 53-65

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

    • Behrouz Parsa Moghaddam, José António Tenreiro Machado, Arman Dabiri
    Pages 67-85

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

    • Ahmet Sahiner, Idris A. Masoud Abdulhamid, Nurullah Yilmaz
    Pages 87-105

  7. A Modified Laguerre Matrix Approach for Burgers–Fisher Type Nonlinear Equations

    • Burcu Gürbüz, Mehmet Sezer
    Pages 107-123

  8. Increasing the Effects of Auxiliary Function by Multiple Extrema in Global Optimization

    • Ahmet Sahiner, Shehab A. Ibrahem, Nurullah Yilmaz
    Pages 125-143

  9. A New Approach for the Solution of the Generalized Abel Integral Equation

    • Tahir Cosgun, Murat Sari, Hande Uslu
    Pages 145-151

  10. NPSOG: A New Hybrid Method for Unconstrained Differentiable Optimization

    • Halima Lakhbab
    Pages 153-169

  11. Detection of HIV-1 Protease Cleavage Sites via Hidden Markov Model and Physicochemical Properties of Amino Acids

    • Elif Doğan Dar, Vilda Purutçuoğlu, Eda Purutçuoğlu
    Pages 171-193

  12. A Numerical Approach for Variable Order Fractional Equations

    • Fatma Ayaz, İrem Bektaş Güner
    Pages 195-211

  13. Evolution of Plane Curves via Lie Symmetry Analysis in the Galilean Plane

    • Zühal Küçükarslan Yüzbaşı, Ebru Cavlak Aslan, Dumitru Baleanu, Mustafa Inc
    Pages 213-226

  14. Back Matter

    Pages 227-233
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Keywords

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.


Editors and Affiliations

  • Institute of Engineering, Polytechnic of Porto, Porto, Portugal

    J. A. Tenreiro Machado

  • Department of Mathematics, Balıkesir University, Balıkesir, Turkey

    Necati Özdemir

  • Department of Mathematics & Computer Science, Çankaya University, Ankara, Turkey

    Dumitru Baleanu

About the editors

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.


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