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Full Description
Methods of Mathematical Modeling: Advances and Applications delves into recent progress in this field, highlighting innovative methods and their uses in different domains. This book covers 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 schemes for computing hyperbolic conservation laws, and solutions to new fractional differential equations. Additionally, the book examines dynamics of Leslie-Gower type predator-prey models and models for the dynamics of generic crop and water availability.
Readers will find diverse approaches, techniques, and applications needed for modeling various physical and natural systems. Each chapter is self-contained, encouraging independent study and application of the modeling examples to individual research projects. This book serves as a valuable resource for researchers, students, educators, scientists, and practitioners involved in different aspects of modeling.
Contents
1. Introduction to Mathematical Modeling in Bioscience
2. Construction of Derivative-Free Iterative Schemes with Second and Third Order from Two Known Data at One Point
3. The Generalized Navier-Stokes Equations with Critical Fractional Dissipation in Sobolev-Gevrey Spaces
4. Study on Flow of Ternary Nanofluids with Heat Transfer Optimization using Taguchi Method
5. Hybrid High-Resolution Technique for Numerically Computing Hyperbolic Conservation Laws
6. Existence of Positive Solutions to a Type of Fractional Differential Equation
7. Influence of the Allee Effect on Prey in a Modified Leslie-Gower Type Predation Model Considering Generalist Predators
8. An Efficient Integral Equation Approach to Study Wave Interaction by a Bottom-Mounted Rectangular Barrier in Presence of a Pair of Partially Immersed Thin Vertical Barriers
9. Analytic and Computational Treatment of Random Differential Equations via the Liouville Partial Differential Equation
