Mathematical Modeling for Intelligent Systems: Theory, Methods, and Simulation

259 Pages·2022·11.219 MB·English

by  Mukesh Kumar Awasthi, Ravi Tomar, Maanak Gupta

Mathematical Modeling for
Intelligent Systems
Mathematical Modeling for Intelligent Systems: Theory, Methods, and Simulation aims
to provide a reference for the applications of mathematical modeling using intelligent tech-
niques in various unique industry problems in the era of Industry 4.0. Providing a thor-
ough introduction to the field of soft-computing techniques, this book covers every major
technique in artificial intelligence in a clear and practical style. It also highlights current
research and applications, addresses issues encountered in the development of applied sys-
tems, and describes a wide range of intelligent systems techniques, including neural net-
works, fuzzy logic, evolutionary strategy, and genetic algorithms. This book demonstrates
concepts through simulation examples and practical experimental results.
Key Features:
• Offers a well-balanced mathematical analysis of modeling physical systems
• Summarizes basic principles in differential geometry and convex analysis as
needed
• Covers a wide range of industrial and social applications and bridges the gap
between core theory and costly experiments through simulations and modeling
• Focuses on manifold ranging from stability of fluid flows, nanofluids, drug deliv-
ery, and security of image data to pandemic modeling, etc.
This book is primarily aimed at advanced undergraduates and postgraduate students
studying computer science, mathematics, and statistics. Researchers and professionals
will also find this book useful.

Mathematical Modeling for
Intelligent Systems
Theory, Methods, and Simulation
Edited by
Mukesh Kumar Awasthi
Babasaheb Bhimrao Ambedkar University, India
Ravi Tomar
University of Petroleum & Energy Studies, India
Maanak Gupta
Tennessee Tech University, USA
First edition published 2023
by CRC Press
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and by CRC Press
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© 2023 selection and editorial matter Mukesh Kumar Awasthi, Ravi Tomar and Maanak Gupta; individual chapters,
the contributors
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ISBN: 9781032272252 (hbk)
ISBN: 9781032272269 (pbk)
ISBN: 9781003291916 (ebk)
DOI: 10.1201/9781003291916
Typeset in Palatino
by codeMantra
Contents
Preface ............................................................................................................................................vii
Editors ..............................................................................................................................................ix
Contributors ....................................................................................................................................xi
1 Sensors, Embedded Systems, and IoT Components ........................................................1
Ananya Sharma and Niharika Singh
2 Security and Privacy in Mobile Cloud Computing .......................................................17
A. Katal
3 A Review on Live Memory Acquisition Approaches for Digital Forensics .............35
Sarishma Dangi and Diksha Bisht
4 IoMT and Blockchain-Based Intelligent and Secured System for
Smart Healthcare ..................................................................................................................61
Hitesh Kumar Sharma, Ravi Tomar, and Preeti
5 AI-Enabled Cloud-Based Intelligent System for Telemedicine ..................................75
Hitesh Kumar Sharma, Ravi Tomar, Preeti, and Prashant Ahlawat
6 Fuzzy Heptagonal DEMATEL Technique and Its Application ..................................85
A. Felix, PP. Ajeesh, S. Karthik, and R. Dinesh Jackson Samuel
7 A Comparative Study of Intrapersonal and Interpersonal Influencing Factors
on the Academic Performance of Technical and Nontechnical Students ...............101
Deepti Sharma, Rishi Asthana, and Vaishali Sharma
8 PIN Solar Cell Characteristics: Fundamental Physics ................................................119
Aditya N. Roy Choudhury
9 A New Approximation for Conformable Time-Fractional Nonlinear
Delayed Differential Equations via Two Efficient Methods .....................................133
Brajesh Kumar Singh and Saloni Agrawal
10 Numerical Treatment on the Convective Instability in a Jeffrey Fluid
Soaked Permeable Layer with Through-Flow ..............................................................159
Dhananjay Yadav, Mukesh Kumar Awasthi, U. S. Mahabaleshwar, and
Krishnendu Bhattacharyya
11 Computational Modeling of Nonlinear Reaction-Diffusion Fisher–KPP
Equation with Mixed Modal Discontinuous Galerkin Scheme ...............................171
Satyvir Singh
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vi Contents
12 A Numerical Approach on Unsteady Mixed Convection Flow with
Temperature-Dependent Variable Prandtl Number and Viscosity .........................185
Govindaraj N, Iyyappan G, A. K. Singh, S. Roy, and P. Shukla
13 Study of Incompressible Viscous Flow Due to a Stretchable Rotating
Disk Through Finite Element Procedure ......................................................................197
Anupam Bhandari
14 Instability of a Viscoelastic Cylindrical Jet: The VCVPF Theory ............................215
Mukesh Kumar Awasthi, Sudhir Kumar Pundir, Manu Devi,
Dhananjay Yadav, Vivek Kumar, and A. K. Singh
15 Evaporative Kelvin–Helmholtz Instability of a Porous Swirling
Annular Layer .....................................................................................................................231
Shivam Agarwal and Mukesh Kumar Awasthi
Index .............................................................................................................................................245
Preface
The modeling of various engineering problems using mathematics is an important tech-
nique that is being used by many engineers and scientists around the globe. The real-life
problems can also be modeled through mathematics, and by using analytical/numerical
methods, one can solve these mathematical models. Bio-mathematical engineering can be
used for modeling various diseases and the impact of different parameters involved. The
security system can also be handled through mathematical techniques. Encryption and
decryption play a vital role in the security system. The use of number theory and cryp-
tography makes the study easier. The exact solution of the Navier–Stokes equation is not
known to date and, therefore, the numerical methods are very helpful for the computation
of various properties of fluid flows.
In recent years, scientists have been trying to solve practical problems using mathemati-
cal models and they are also getting success. As computing technologies have grown tre-
mendously, the possibilities of solving complex problems have also increased. Most of the
engineering systems are very complex, and it takes a lot of time and money to find their
solutions. To design an engineering system and understand its processes, it is very impor-
tant to understand and analyze all the parameters used in that system and mathematical
models are very helpful in understanding and analyzing such parameters.
This book is intended as reference material for educators, researchers, and everyone who
wishes to learn and have a grasp of the various advances in the fields of computer science,
applied mathematics, computing, and simulation. This book will be a readily accessible
source of information for the researchers in the area of applied computing as well as for
the professionals who want to enhance their understanding of theoretical and application
studies. This book is also beneficial for the researchers and professionals who are involved
in the research on Intelligent Systems. This book is written for the students, professionals,
researchers, and developers who are involved or have a keen interest in the domain of
computational intelligence. One of the unique features of this book is it covers the various
case studies and future directions in the domain of mathematical modeling.
This book is intended to be multidomain applications, which will help researchers and
scholars to think beyond one specific field and work on cohort domain in mathematics and
computer science. This book can be an idea for an audience working in the domain of model-
ing and simulations. It will present the reader with comprehensive insights about the vari-
ous kinds of mathematical modeling and numerical computations for the problems arising
in various branches of engineering starting from computer Science engineering, mechanical
engineering, Electrical, and Electronic Engineering, Civil Engineering, etc.
This book contains 16 chapters, each of which presents commonly observed topics and
problems which somewhere deep inside are solved through mathematical computation
and usage of the latest computational intelligence. This book starts with discussing prac-
tical aspects and components of Intelligent systems and followed with the theoretical
approaches to solve other day-to-day problems.
Chapter 1 is about Sensors, Embedded Systems, and IoT Components as the title suggests,
the chapter presents a comprehensive understanding of the components of IoT and smart
computing. Chapter 2 discuss the very critical aspect of Security and Privacy in Mobile
Cloud Computing, followed by Chapter 3 about a Review of Live Memory Acquisition
Approaches for Digital Forensics. The chapter discusses a practical approach around
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viii Preface
acquiring memory dump for different memory acquisition tools. Further, Chapter 4 is dedi-
cated to discussing the need and applicability of the latest technologies like IoMT with
Blockchain-Based Intelligent and Secured System for Smart Healthcare. Chapter 5 com-
plements it by the implementation of an AI-Enabled Cloud-Based Intelligent System for
Telemedicine.
The expansion of The DEMATEL method under the uncertain linguistic situation with
heptagonal fuzzy numbers is given in Chapter 6, while the academic performance of techni-
cal and nontechnical persons is discussed in Chapter 7. Chapter 8 presents the fundamental
aspects of the modeling of a PIN solar cell. Chapter 9 proposes the solution of conformable
time-fractional nonlinear partial differential equations with proportional delay.
Chapters 10–15 are based on the fluid flows in various geometries. Chapter 10 is about
the convective instability in a Jeffrey fluid-soaked permeable layer and Chapter 11 presents
a numerical solution of the two-dimensional nonlinear Fisher–Kolmogorov–Petrovsky–
Piscounov reaction–diffusion equation. The impact of transient fluid flow on a vertical
plate in the laminar boundary layer with variable viscosity Prandtl number is given in
Chapter 12. Chapter 13 complements the flow of viscous fluid due to a rotating and stretch-
ing disk. Chapters 14 and 15 discuss the interfacial instability in cylindrical geometries.
We wish the readers a successful study of the material presented, leading to new inspira-
tion, a deepening understanding of the described concepts, and also fruitful applications
to the contemporary challenges of science and engineering.
Dr. Mukesh Kumar Awasthi
Dr. Ravi Tomar
Dr. Maanak Gupta
Editors
Dr. Mukesh Kumar Awasthi i s working as an Assistant
Professor in the Department of Mathematics at Babasaheb
Bhimrao Ambedkar University (A Central University),
Lucknow, India. He completed his doctorate with a major
in Mathematics from the Indian Institute of Technology
Roorkee, Roorkee, India in 2012. He has qualified for
various national-level competitive exams in the area of
Mathematical Sciences. He has been a recipient of a research
fellowship under the Council of Scientific and Industrial
Research, India during his Ph.D. His research areas include
Computational Fluid Dynamics, Heat transfer, Applied
Mathematical Modeling, and Numerical analysis. He loves
to teach applied mathematics courses to undergraduate,
postgraduate, and Ph.D. students. He has been indifferent to
academic and administrative positions during his academic profession. He has more than
100 publications (90 SCI indexed, 92 Scopus indexed) to his credit in the high impact factor
journals of international repute. He has attended many symposia, workshops, and confer-
ences in mathematics as well as fluid mechanics. He has got research awards consecutively
four times from the University of Petroleum & Energy Studies, Dehradun, India. He has
also received the start-up research fund for his project “Nonlinear study of the interface in
multilayer fluid system” from UGC, New Delhi.
Dr. Ravi Tomar is currently working as Associate Professor
in the School of Computer Science at the University of
Petroleum & Energy Studies, Dehradun, India. Skilled in
Programming, Computer Networking, Stream processing,
Core Java, J2EE, RPA and CorDapp, his research interests
include Wireless Sensor Networks, Image Processing, Data
Mining and Warehousing, Computer Networks, big data
technologies, and VANET. He has authored more than 51
papers in different research areas, filled four Indian patent,
edited 5 books, and have authored 5 books. He has deliv-
ered Training to corporates nationally and internationally
on Confluent Apache Kafka, Stream Processing, RPA, CorDapp, J2EE, and IoT to clients like
KeyBank, Accenture, Union Bank of Philippines, Ernst & Young, and Deloitte. Dr. Tomar
is officially recognized as Instructor for Confluent and CorDapp. He has conducted vari-
ous International conferences in India, France, and Nepal. He has been awarded a young
researcher in Computer Science and Engineering by RedInno, India in 2018, Academic
Excellence and Research Excellence Award by UPES in 2021 and Young Scientist Award
by UCOST, Dehradun.
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