
Computational Mathematics in Engineering
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The monograph represents peer-reviewed original studies that make significant contributions to various branches of Computational Mathematics and Engineering. Each chapter highlights current trends in its respective research field and offers valuable insights, innovative methodologies, and recent advances in theories and computational applications. Key topics include artificial neural networks, data sciences, fuzzy set theory, numerical optimization techniques, soft computing, computational fluid dynamics and mathematical modelling. Additionally, several AI and machine learning algorithms are included, showcasing noteworthy computational results. This monograph features mathematical content validated by simulation results, enhancing the significance of the book. It serves as a valuable resource for both early-career and experienced researchers tackling complex real-world problems, such as addressing COVID-19 dynamics and solving transportation issues in engineering designs that traditional methods fail to resolve.
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Persons
1. Dr Praveen Kumar Gupta is currently working as an Assistant Professor in the Department of Mathematics, National Institute of Technology Silchar. Dr Gupta initially joined Banasthali University and NIT Silchar as an Assistant Professor after receiving his PhD degree from a premier institution in India, theIndian Institute of Technology-BHU, Varanasi. Dr Gupta working in Mathematical Modeling and published more than 50 publications in the journal of international repute. Dr Gupta has been figured among the WORLD'S TOP 2% SCIENTISTS in a world database created by Stanford University, California, USA in the years 2022 & 2023. He wasawardedmanyresearchfellowships, including the prestigious NBHM post-docFellowship and many best paper awards during national and international conferences.
2. Dr Subrata Bera is presently working as an Associate Professor in the Department of Mathematics, National Institute of Technology Silchar, India, since 2023. After completing his PhD degree from the Indian Institute of Technology Kharagpur, he was awarded CSIR-Research Associate & NBHM Postdoctoral fellow and worked respectively through these fellowships in the same Institute. He joined as an Assistant Professor in the Department of Mathematics, National Institute of Technology Silchar in 2015. Dr Bera's research interests are electrokinetic flow in micro and nanofluidics modelling, heat transfer characteristics, and harvesting of green energy. He has published a good number of research articles in internationally reputed journals. He successfully completed one research project entitled "Numerical Study on the Numerical Study on Electrokinetic Flow through Polyelyte coated Nanopore"sponsored by the Science and Engineering Research Board, Govt. of India during 2017-2020.
3. Prof. Hiroyuki Ohshima is a Professor Emeritus at the Tokyo University of Science, Japan. He received his B.S. (1968), M.S. (1970), and Ph.D. (1974) degrees in physics from the University of Tokyo. He spent his post-doc life at the University of Melbourne (1981-1983), State University of New York at Buffalo (1983-1984), and University of Utah (1984-1985). He is the author of "Theory of Colloid and Interfacial Electric Phenomena (Elsevier2006), "Biophysical Chemistry of Biointerfaces" (Wiley 2010), "Encyclopedia of Biocolloid and Biointerface Science" (Wiley 2016), and "Fundamentals of Soft Interfaces in Colloid and Surface Chemistry" (Elsevier 2024), and over 350 book chapters and journal publications. He currently edits Colloid and Polymer Science, In 2016, Ohshima was awarded the 29th Khwarizmi International Award by the Iranian Research Organization for Science and Technology. He was selected as one of Asia's top 100 scientists for 2017 (The Asian Scientist Magazine, June 2017).
4. Prof. Dumitru Baleanu is a Professor at the Institute of Space Sciences, Magurele-Bucharest, Romania and a visiting staff member at the Department of Mathematics,Cankaya University, Ankara, Turkey. Dumitru got his PhD from the Institute of Atomic Physics in 1996. His fields of interest include the image processing, bio-informatics, mathematical biology, fractional dynamics and its applications, mathematical physics, soliton theory, computational complexity, etc. He is a co-author of 15 books and he published more than 1000 papers indexed in ISI journals. He is the Editor in Chief of Progress in Fractional Differentiation and Applications and he is a Co-editor in Chief of Discontinuity, Nonlinearity and Complexity, and editorial board member of Applied Numerical Analysis, Mathematics, Symmetry, Mathematical Methods in Applied Sciences, and many more.He organized several prestigious international conferences in various countries. He won the ICFDA2018 Award: Innovation in Fractional Calculus and 2019-Obada Prize.
Content
- Intro
- Contents
- Detour monophonic vertex cover pebbling number (DMVCPN) of some standard graphs
- 1 Introduction
- 2 Motivation
- 3 Detour monophonic vertex cover pebbling number
- 4 Algorithm to find DMVCPN
- 5 Various pebbling numbers of G
- 6 Conclusions
- Bibliography
- Alleviating the need of aggregation operator in group decision-making using AHP and evaluating factors affecting the IoTs industrial implementation readiness
- 1 Introduction
- 2 Proposed work
- 2.1 Fuzzy Non-Linear Programming (FNLP) model
- 2.2 Methodology
- 2.3 The proposed hybridized technique AHP-PSO for weight detection of MCDM problems
- 3 Case study: optimal selection of factors affecting the readiness of IoT implementation
- 3.1 Comparative analysis and practical implication
- 4 Conclusions
- Bibliography
- Fake news detection
- 1 Introduction
- 2 Literature review
- 3 System design and architecture
- 4 Methodology
- 5 Result and discussion
- 6 Conclusions
- Bibliography
- Potential biomarkers for breast cancer identification using machine learning techniques
- 1 Introduction
- 2 Related work
- 3 Methodology
- 3.1 Data source
- 3.2 Data preprocessing
- 3.3 Feature selection
- 3.4 Machine learning algorithms
- 3.5 Evaluation of model
- 4 Results
- 5 Conclusions
- 6 Future work
- Bibliography
- Advances in scene text recognition: a comprehensive review of sequential transformation attention-based networks (STANs) and related approaches
- 1 Introduction
- 1.1 Motivation
- 1.2 Research gap
- 1.3 Contribution
- 1.4 Systematic literature review procedure
- 2 Literature review
- 2.1 Early approaches
- 2.2 Deep learning-based models
- 2.3 Attention mechanisms
- 3 Sequential transformation attention-based network (STAN)
- 3.1 Model architecture
- 3.2 Sequential transformation module
- 3.3 Mathematical representation
- 3.4 Grid projection mechanism
- 3.5 Pipeline
- 3.6 Key innovations
- 3.7 Enhancing recognition of curved text
- 3.7.1 Adversarial training
- 3.7.2 Superresolution
- 3.7.3 Synthetic datasets
- 3.8 Feasibility for real-time applications
- 3.8.1 Autonomous systems
- 3.8.2 Mobile platforms
- 3.8.3 Augmented reality (AR)
- 4 Comparative analysis with latest models
- 4.1 Benchmark datasets
- 4.2 Performance analysis
- 4.3 Impact of patch number
- 4.4 Ablation studies
- 4.4.1 Grid projection system
- 4.4.2 Sequential transformation
- 4.5 STAN's improvements over ASTER and ESIR
- 4.5.1 Computational efficiency
- 4.5.2 Accuracy
- 4.5.3 Robustness
- 5 Limitations and possible remedies
- 5.1 Limitations
- 5.2 Potential solutions
- 6 Recent developments and future directions
- 6.1 Integration with detection models
- 6.2 Realistic data synthesis
- 7 Conclusions
- Bibliography
- A double parametric fuzzy optimization method for solving LPP with symmetric trapezoidal uncertainty
- 1 Introduction
- 1.1 Shortcomings of the existing methods
- 1.2 Abbreviations and acronyms
- 2 Preliminaries
- 3 Fuzzy linear programming problem
- 3.1 Proposed method
- 3.2 Example
- 3.3 Discussion of Figure 6.1
- 3.4 Comparison of the proposed method and the method in ebrahimnejad2014novel
- 4 Conclusions
- Bibliography
- A new logarithm-based distance measure for Pythagorean fuzzy sets and application in decision making
- 1 Introduction
- 1.1 Motivation of the study
- 2 Preliminaries
- 3 Some existing distance measures for Pythagorean fuzzy sets
- 4 Logarithm-based distance measure for Pythagorean fuzzy sets
- 5 Geometrical behavior of the proposed distance measure
- 6 Comparative analysis
- 7 Application for PFS in decision making
- 7.1 Pattern recognition
- 7.2 Medical diagnosis
- 8 Conclusions
- Bibliography
- The one-sided classical fractional maximal function and the one-sided generalized fractional Morrey-type space
- 1 Introduction
- 2 Preliminaries
- 3 Scalar-valued results
- 4 Some Fefferman-Stein-type weighted inequalities
- 5 Conclusions
- Bibliography
- A comprehensive review of mathematical models for forecasting population growth: exploring current frontiers
- 1 Introduction
- 2 Overview of the types of modeled systems
- 3 Rationale for exploring mathematical models in biological and medical systems
- 4 Population growth models
- 5 Real-world applications
- 5.1 Gompertz growth model for COVID-19 pandemic spread prediction
- 6 Proposed novel model: adaptive logistic-Gompertz (ALG) model
- 7 Challenges in forecasting population growth
- 8 Opportunities in forecasting population growth
- 9 Conclusions
- Bibliography
- A NSFD technique for an SIR model with nonlinear contact and vaccination rates influenced by media information
- 1 Introduction
- 2 Formulation of model
- 3 Preliminary analysis
- 3.1 Nonnegativity and boundedness
- 3.2 Basic reproduction number and equilibria
- 3.3 Stability analysis
- 4 NSFD technique
- 5 Numerical simulation
- 5.1 Comparison of different numerical techniques
- 5.2 Variation of different parameters
- 6 Conclusions
- Bibliography
- Stochastic approach to a SIR model with two target classes
- 1 Introduction
- 2 Dual compartmental SIR model
- 2.1 Mathematical formulation
- 2.2 Positivity
- 2.3 Boundedness
- 2.4 Equilibrium states
- 2.5 Basic reproduction number (BRN) R0
- 3 Stochastic model
- 4 Simulation
- 5 Conclusions
- Bibliography
- Evaluating infectious disease models for pandemic prediction
- 1 Introduction
- 2 Methodology
- 2.1 SIR model
- 2.2 SEIR model
- 2.3 Reed-Frost model
- 2.4 Monte Carlo simulations
- 2.5 Maximum likelihood estimation (MLE)
- 3 Results and discussion
- 4 Conclusions
- Bibliography
- Modeling the impact of quarantined COVID-19 individuals with restrictive treatment capacity in hospitals
- 1 Introduction
- 2 Mathematical representation of the model
- 3 Equilibrium points and basic reproduction number
- 4 Stability analysis
- 5 Conclusions
- Bibliography
- Analysis of wind effect surrounding the C-shape high-rise building
- 1 Introduction
- 2 Methodology
- 2.1 Flow chart
- 2.2 Geometry modeling
- 2.3 Meshing
- 2.4 Setup
- 2.4.1 Shear stress transport equation
- 2.4.2 Power law
- 2.5 Solution
- 3 Results and discussion
- 3.1 Pressure contours
- 3.2 Velocity streamlines
- 4 Conclusions
- Bibliography
- Effect of Peclet number on MIPS in a four-roll-mill flow
- 1 Introduction
- 2 Methods
- 3 Results
- 3.1 Particle trajectory
- 3.2 Spatial distribution of ABPs
- 3.3 Cluster size distribution
- 4 Giant number fluctuation
- 5 Conclusions
- Bibliography
- Role of computation fluid dynamics (CFD) in the prediction of flow behavior inside solar air heaters
- 1 Introduction
- 2 Experimental evaluation
- 3 Analytical evaluation
- 4 Numerical evaluation
- 5 Turbulence model of CFD
- 6 Flow behavior in solar air heater with CFD
- 7 Conclusions
- Bibliography
- To evaluate the aneurysm-induced hemodynamics: insights from Newtonian and non-Newtonian blood flow models
- 1 Introduction
- 2 Numerical methodology
- 2.1 Geometry construction and grid generation
- 2.2 Governing equation and boundary conditions
- 2.3 Blood viscosity models
- 3 Results and discussion
- 3.1 Flow characteristics
- 3.2 Flow vorticity field at cerebral aneurysm (CA) region
- 3.3 Wall shear stress (WSS) distribution
- 4 Conclusions
- Bibliography
- Thermal and hydrodynamic analysis of viscoplastic flow in a channel-cavity system with temperature-dependent properties
- 1 Introduction
- 2 Mathematical formulation
- 3 Comparative study and grid independency test
- 4 Results and discussions
- 4.1 Flow behavior and isotherms
- 4.2 Heat transfer
- 5 Conclusions
- Bibliography
- The influence of dual opposing electrolyte gradients on diffusiophoretic mobility of spherical colloids
- 1 Introduction
- 2 Mathematical model
- 3 Results and discussion
- 4 Conclusions
- Bibliography
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