Methods of Mathematical Modeling: Advances and Applications (Advanced Studies in Complex Systems) - Softcover

Softcover

ISBN 10: 0443133174 ISBN 13: 9780443133176

Publisher: Academic Press, 2025

Synopsis

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.

• 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 the dynamics of predator-prey, generic crop, and water availability models

About this title

About the Author

Dr. Hemen Dutta PhD is a Professor at Gauhati University, India. He also served three other higher learning academic institutions in different capacities prior to joining the Gauhati University. His current research interests are in the areas of nonlinear analysis and mathematical modeling. He is a regular and guest editor of several international indexed journals. He has published 25 books, including Mathematical Modelling and Analysis of Infectious Diseases, New Trends in Applied Analysis and Computational Mathematics, Current Trends in Mathematical Analysis and Its Interdisciplinary Applications from Springer, Concise Introduction to Basic Real Analysis, Topics in Contemporary Mathematical Analysis and Applications, and Mathematical Methods in Engineering and Applied Sciences from CRC Press, and Fractional Order Analysis: Theory, Methods and Applications from Wiley, among others. Dr. Dutta is also an honorary research affiliate and speaker for several international and national events.

From the Back Cover

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.

Edition details

• Publisher: Academic Press
• Publication date: 2025
• Language: English
• ISBN 10: 0443133174
• ISBN 13: 9780443133176
• Binding: Paperback
• Number of pages: 294
• Editor: Dutta