Numerical Solutions of Realistic Nonlinear Phenomena: 31 (Nonlinear Systems and Complexity, 31) - Softcover

Softcover

ISBN 10: 3030371433 ISBN 13: 9783030371432

Publisher: Springer, 2021

Synopsis

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 this title

About the Author

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.

From the Back Cover

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

Edition details

• Publisher: Springer
• Publication date: 2021
• Language: English
• ISBN 10: 3030371433
• ISBN 13: 9783030371432
• Binding: Paperback
• Edition number: 1
• Number of pages: 241
• Editor: Machado J. A. Tenreiro, Özdemir Necati, Baleanu Dumitru