Methods of Mathematical Modeling
Advances and Applications
- 1st Edition - August 1, 2025
- Imprint: Academic Press
- Editor: Hemen Dutta
- Language: English
- Paperback ISBN:9 7 8 - 0 - 4 4 3 - 1 3 3 1 7 - 6
- eBook ISBN:9 7 8 - 0 - 4 4 3 - 1 3 3 1 6 - 9
Mathematical modelling is an interdisciplinary field that studies the nature of different systems. Methods of Mathematical Modeling: Advances and Applications covers advanc… Read more
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Request a sales quoteMathematical 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
Mathematicians, researchers in computational modelling and computational biology, computer scientists, engineers, as well as researchers in biomedical engineering and other biological sciences
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
- Edition: 1
- Published: August 1, 2025
- Imprint: Academic Press
- No. of pages: 250
- Language: English
- Paperback ISBN: 9780443133176
- eBook ISBN: 9780443133169
HD
Hemen Dutta
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.
Affiliations and expertise
Professor, Department of Mathematics, Gauhati University, India