
- 429 pages
- English
- PDF
- Available on iOS & Android
The Use of mathematical structures: Modelling real phenomena
About this book
"The Use Of Mathematical Structures: Modelling Real Phenomena" is an edited book consisting of 16 contemporaneous open-access articles that are devoted to the mathematical modelling of natural phenomena. To summarize, this book is about the use of applied mathematics and mathematical analysis in the context of its applications to real-world problems. It includes a selection of real-world problems in fluid dynamics, mechanical engineering, biology, and biochemistry. The last chapters include the mathematical modelling of the COVID-19 virus. The intended audience of this book is undergraduate and graduate students, as well as junior researchers. The reader must have a good knowledge of ordinary differential equations, boundary value problems, fractional calculus, stability theory, and wavelets in order to fully understand the real-world problems and their mathematical modelling included in this book.
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Information
Table of contents
- Cover
- Title Page
- Copyright
- DECLARATION
- ABOUT THE EDITOR
- TABLE OF CONTENTS
- List of Contributors
- List of Abbreviations
- Preface
- Chapter 1 Models, Structures, and the Explanatory Role of Mathematics in Empirical Science
- Chapter 2 The Real and the Mathematical in Quantum Modeling: From Principles to Models and from Models to Principles
- Chapter 3 The Nature and Mathematical Basis for Material Stability in the Chemical and Biological Worlds
- Chapter 4 A Riccati-Bernoulli sub-ODE method for Nonlinear Partial Differential Equations and its Application
- Chapter 5 Mathematical Modelling of Mantle Convection at a high Rayleigh number with Variable Viscosity and Viscous Dissipation
- Chapter 6 Extending the Persistent Primary Variable Algorithm to Simulate Non-Isothermal Two-Phase Two-Component Flow with Phase Change Phenomena
- Chapter 7 Modelling and Dynamic Characteristics for a Non-metal Pressurized Reservoir with Variable Volume
- Chapter 8 Dynamic Modelling and Natural Characteristic Analysis of Cycloid Ball Transmission Using Lumped Stiffness Method
- Chapter 9 Modelling of Flowslides and Debris Avalanches in Natural and Engineered Slopes: A Review
- Chapter 10 On Some Wavelet Solutions of Singular Differential Equations Arising in the Modeling of Chemical and Biochemical Phenomena
- Chapter 11 A Mathematical Analysis of Hopf-Bifurcation in a Prey-Predator Model with Nonlinear Functional Response
- Chapter 12 Multiscale Modelling Tool: Mathematical Modelling of Collective Behaviour Without the Maths
- Chapter 13 Effects of Greenhouse Gases and Hypoxia on the Population of Aquatic Species: A Fractional Mathematical Model
- Index
- Back Cover