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Numerical Solutions of Realistic Nonlinear Phenomena
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Catalogue Information
Field name
Details
Dewey Class
519
Title
Numerical Solutions of Realistic Nonlinear Phenomena ([EBook]) / edited by J. A. Tenreiro Machado, Necati Özdemir, Dumitru Baleanu.
Added Personal Name
Machado, J. A. Tenreiro
Özdemir, Necati
Baleanu, Dumitru
Other name(s)
SpringerLink (Online service)
Edition statement
1st ed. 2020.
Publication
Cham : : Springer International Publishing : : Imprint: Springer, , 2020.
Physical Details
VIII, 233 p. 36 illus., 26 illus. in color. : online resource.
Series
Nonlinear Systems and Complexity
2195-9994 ; ; 31
ISBN
9783030371418
Summary Note
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. 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.:
Contents note
Chapter 1. Monotone iterative technique for non-autonomous semilinear differential equations with non-instantaneous impulses -- Chapter 2. An extrapolated Crank Nicholson VMS-POD method for Darcy Brinkman Equations -- Chapter 3. Comparison of Exact and Numerical Solutions for the Sharma-Tasso-Olver Equation -- Chapter 4. A Linear B-spline Approximation for a Class of Nonlinear Time and Space Fractional Partial Differential Equations -- Chapter 5. Escaping from Current Minimizer by Using an Auxiliary Function Smoothed by Bezier Curves -- Chapter 6. A modified Laguerre matrix approach for Burger-Fisher type nonlinear equations -- Chapter 7. Increasing the Effects of Auxiliary Function by Multiple Extrema in Global Optimization -- Chapter 8. A New Approach for the Solution of the Generalized Abel Integral Equation -- Chapter 9. NPSOG: A new hybrid method for unconstrained differentiable optimization -- Chapter 10. Detection of HIV-1 Protease Cleavage Sites via Hidden Markov Model and Physiochemical Properties of Aminoacids -- Chapter 11. A Numerical Approach for Variable Order Fractional Equations -- Chapter 12. Evolution of Plane Curves via Lie Symmetry Analysis in the Galilean Plane.
Mode of acces to digital resource
Digital book. Cham Springer Nature 2020. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
System details note
- Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.1007/978-3-030-37141-8
Links to Related Works
Subject References:
Applications of Nonlinear Dynamics and Chaos Theory
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Complexity
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Computational Complexity
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Computational Science and Engineering
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Computer mathematics
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Mathematical Applications in the Physical Sciences
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Mathematical Physics
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Partial differential equations
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Statistical Physics
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Authors:
Baleanu, Dumitru
.
editor
.
Machado, J. A. Tenreiro
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Özdemir, Necati
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Corporate Authors:
SpringerLink (Online service)
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Series:
Nonlinear Systems and Complexity
.
Classification:
519
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