Mathematical modelling is an interdisciplinary field that studies the nature of different systems. Methods of Mathematical Modeling: Advances and Applications covers advances in the field of mathematical modelling by incorporating new methods and their applications in a variety of domains. Some of the key modeling advances covered in the book include convergence analysis involving nonlinear integral equations and boundary value problems, Navier-Stokes equations in Sobolev-Gevrey spaces, magneto-hydrodynamics of ternary nanofluids with heat transfer effects, vortex nerve complexes in video frame shape approximation, hybrid scheme for computing hyperbolic conservation laws, procedures to handle wave interactions, solutions to new fractional differential equations, dynamics of Leslie-Gower type predator-prey models, and models for the dynamics of generic crop and water availability. Readers will find a range of new methods, approaches, and techniques, as well as a diversity of applications, which are required for modelling various physical and natural systems. Each chapter has been developed in a self-contained style, allowing readers to independently investigate information in the chapters and apply the modelling examples to their own research and projects in development. Researchers, students, educators, scientists, and practitioners involved in many aspects of modelling will find the book useful.

• Provides new mathematical methods and techniques for modeling various physical and natural systems
• Includes new hybrid computational schemes and procedures for handling wave interactions
• Includes advanced-level convergence analysis and generalized Navier-Stokes equations
• Provides readers with dynamics of predator-prey, generic crop and water availability models