Numerical Solutions of Realistic Nonlinear Phenomena

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