Numerical Solutions of Realistic Nonlinear Phenomena
Springer International Publishing (Verlag)
978-3-030-37143-2 (ISBN)
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.
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, Balikesir University, Balikesir, Turkey; Dumitru Baleanu is a Professor with the Department of Mathematics, Çankaya University, Ankara, Turkey and the Institute of Space Sciences, Magurele-Bucharest, Romania.
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.
| Erscheinungsdatum | 01.03.2021 |
|---|---|
| Reihe/Serie | Nonlinear Systems and Complexity |
| Zusatzinfo | VIII, 233 p. 36 illus., 26 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 423 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
| Schlagworte | Abel integral equations • Asset Price Dynamics • Auxiliary function methods • Burger-Fisher equation • Complexity • Epidemic models • Fractional Order Differential Equations • Global Optimization • hidden Markov models • Hybrid methods for optimization • mathematical finance • Nonlinear Partial Differential Equations • Non-singular fractional operators • Partial differential equations • Particle swarm optimization • Unconstrained differentiable optimization |
| ISBN-10 | 3-030-37143-3 / 3030371433 |
| ISBN-13 | 978-3-030-37143-2 / 9783030371432 |
| Zustand | Neuware |
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