Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy: Proceedings of the Third International Conference, MMCITRE 2022

Preface
Contents
About the Editors
Theoretical Advancements for Applied Mathematics
A New Result Using Quasi-β-Power Increasing Sequence
	1 Introduction
	2 Known Result
		2.1 Theorem ch120
		2.2 Theorem ch120
	3 Main Result
		3.1 Theorem
		3.2 Theorem
	4 Lemmas
		4.1 Lemma ch117
		4.2 Lemma
	5 Proof of the Main Results
	6 Corollaries
	7 Conclusion
	References
(C, 1, 1)-Quasinormal Convergence  of Double Sequence of Functions
	1 Introduction
	2 Preliminaries
	3 Main Result
		3.1 (C, 1, 1)-Quasinormal Convergence of Double Sequence of Functions
		3.2 Statistical-Quasinormal Convergence of Double Sequences of Functions
		3.3 Lacunary-Quasinormal-Statistical Convergence of Double Sequences of Functions
	4 Conclusion
	References
Fixed Point Theorems in Neutrosophic Soft Metric Space
	1 Introduction
	2 Preliminaries
	3 Fixed Point Results
	4 Conclusion
	References
Existence of Best Proximity Points on ( ψ,φ ) Contractions in RMS
	1 Introduction and Preliminaries
	2 Known Results
		2.1 Theorem [12]
	3 Main Results
		3.1 Theorem
	4 Corollaries
		4.1 Corollary
		4.2 Corollary
		4.3 Corollary
		4.4 Corollary
	5 Example
		5.1 Example
	References
Approximation of Signals by El1 El1 Product Summability Means  of Fourier–Laguerre Expansion
	1 Introduction
	2 Known Results
	3 Lemma
	4 Main Result
	5 Conclusion
	References
Approximation of Signal Belongs to Generalized  W (Lr, ξ( t )) Class by  ( C, α, η) A -Matrix Summability of Fourier Series
	1 Introduction
	2 Main Theorem
	3 Lemmas
	4 Proof of Theorem
	5 Corollaries
	6 Conclusion
	References
A New Connection on Generalised Tangent Bundle
	1 Introduction
	2 Graded Courant Algebroid
	3 Multi Courant Bracket on Graded Generalised Tangent Bundle
	4 Connection on Graded Courant Algebroid
	5 Conclusion and Future Scope
	References
Mathematical Modelling
Analysis of Third-Order Resonant Periodic Orbits in Perturbed Circular Restricted Three-Body Problem
	1 Introduction
	2 Governing Equation
		2.1 Analysis of Periodic Orbits
	3 Regression Analysis
	4 Conclusion
	References
Exergy Optimization in Closed-Loop Spray Drying
	1 Introduction
	2 Equipment and Procedure
		2.1 Equipment
		2.2 Procedure
	3 Model Description
		3.1 Performance Analysis: Unit Operations
		3.2 Adjustable or Fitted Parameters
		3.3 Simulation Procedure
		3.4 Exergy Analysis Equations
	4 Results
		4.1 During Drying
		4.2 During Condensation
		4.3 Results of Running the Numerical Simulation of the Model
	5 Conclusion
	References
Simulation and Modeling of Linear and Nonlinear PID Controller
	1 Introduction
	2 Distributed PID Controller
	3 Configurations of Distributed PID Controller
		3.1 Types of Nonlinear PID Controller
		3.2 The Structures of NPID Controller
		3.3 Nonlinear Gain in Cascade with the Output
		3.4 System Performance
	4 Results
	5 Conclusion
	6 Conclusion
	References
Evaluation of Transitional and Plastic Stresses in Transversely Isotropic Disk Made of Piezoelectric Material Subjected to Internal Pressure
	1 Introduction
	2 Formulation of the Problem
	3 Transition from Elastic to Plastic
	4 Observations
	5 Conclusion
	References
Comparison of Numerical Solution of Consolidation Equation in One Dimension by Finite Difference Methods and Finite Element Method with Analytical Solution
	1 Introduction
	2 Numerical Solution by Finite Difference Methods
		2.1 Explicit Method
		2.2 Implicit Method
		2.3 Crank–Nicolson Method
	3 Finite Element Solution
	4 Results and Discussion
	5 Conclusion
	References
Existence of Solutions for Stochastic Fractional Differential Equations Driven by Lévy Noise
	1 Introduction
	2 Preliminary Supplements
	3 Main Results
	4 Conclusion
	References
Mathematical Modelling of Failure Process for Repairable Systems
	1 Introduction
	2 Methodology
		2.1 Estimation of Parameters and Mathematical Modelling
		2.2 Praxis of the Model
	3 Praxis of the Model on a Case Study
	4 Conclusion
	References
Mathematical Analysis of a Prey–Predator Model in Presence of Two Controls
	1 Introduction
	2 The Model Formulation
	3 Mathematical Formulation and Analysis in the Presence of Controls
		3.1 Optimality System
	4 Numerical Simulation of the System
		4.1 Interpretation of the Parameters
	5 Numerical Simulation of the Optimal Control
	6 Discussion
	References
An Investigation of a Novel Design of Savonius Wind Turbine Along Highway and for Small-scale Power Generation Applications
	1 Introduction
	2 Related Work
	3 Vertical Axis Wind Turbine
	4 Design Concepts of Blades
		4.1 Comparison of Various Blade Designs
		4.2 Design Conceptualized
	5 Component Design and Description
		5.1 Design of Blade
		5.2 Design of Rotor
		5.3 Supporting Structure
		5.4 Dynamo, Inverter Circuit and Gearbox
		5.5 Battery Bank
		5.6 Block Diagram of Wind Energy Conversion System
	6 Theoritical Power Calculation and Analysis
		6.1 Blade Pitch Angle (β) and Tip Speed Ratio (λ)
		6.2 Coefficient of Power (Cp)
		6.3 Calculations
	7 Conclusion
	References
Numerical and Economical Investigations on Thermal Enhanced Oil Recovery Techniques
	1 Introduction
	2 Reservoir Modelling
	3 Reservoir Modelling
		3.1 Details of Well Placement and Operating Strategy
	4 Results and Discussion
		4.1 Oil Production Behavior with Viscosity 120 cP
		4.2 Oil Production Behavior with Viscosity 1730 cP
	5 Economic Analysis
		5.1 Oil Reservoir with Viscosity 120 cP
		5.2 Oil Reservoir with Viscosity 1730 cP
	6 Conclusion
	References
Medical and Statistical Applications
Applications of Augmented Reality in Medical Training
	1 Introduction
	2 Literature Survey
	3 Augmented Reality in Healthcare
	4 Integrating Machine Learning and Augmented Reality
	5 Suggested Approach
	6 Frameworks
	7 Designing Environment
	8 Result and User Experience
	9 Gaps in Research and Future Work
	10 Conclusion
	References
Application of Piezoelectric Material in Surgery
	1 Introduction
	2 Mechanism of Action
	3 Piezoelectric Surgery
		3.1 Advantages of Piezoelectric Surgery
		3.2 Disadvantages of Piezoelectric Surgery
		3.3 Modes
	4 Conclusion
	References
A Mathematical Analysis on the Obesity and Diabetic Model
	1 Introduction
	2 Formulation of Model
	3 Boundedness
	4 Equilibrium Analysis
	5 Local Stability
	6 Global Stablity
	7 Numerical Simulations
	8 Conclusion
	References
Numerical Simulations for Human Liver Model with Caputo Fractional Derivative
	1 Introduction
	2 Numerical Approximation
	3 Results and Discussion
	4 Conclusion
	References
Physical Exercise: Effective Aspect in Diabetes Management
	1 Introduction
	2 The Glucose-Insulin Regulatory System of Human
		2.1 Modeling of Insulin and Glucose Dynamic
		2.2 Modeling the Impact of Physical Activity
	3 Stability Analysis of Proposed Model
		3.1 Existence of Equilibrium Points
		3.2 Model Has Unique Solution
		3.3 The Solution of Models (G(t),I(t)) Are Positive
		3.4 The Solution of Models G(t) and I(t) Are Bounded
		3.5 Stability Analysis of Model
	4 Numerical Simulation and Results
	5 Conclusion and Future Aspects
	References
Single Variable Regression Model with Error Analysis for Evolution of Periodic Orbit in Formation Satellite
	1 Introduction
	2 Formulation of Model
	3 Analysis and Observations
	4 Regression Model
	5 Conclusion
	References
Predicting Tissue Chloride Through FTIR-ATR Spectroscopy—Application of Exhaustive Feature Extraction Protocol
	1 Introduction
		1.1 System Model
		1.2 Previous Work
	2 Proposed Methodology
		2.1 Structure
		2.2 Glasshouse Experiment, Harvesting, and Chemical Analysis of Plant Tissues
		2.3 FTIR-ATR Data Collection
	3 Simulation/Experimental Results
		3.1 Statistics and Welch’s t-test
		3.2 Cluster Analysis
		3.3 Clusters Versus Chloride
		3.4 Improving R2 Values—the Proposed Method
	4 Conclusions
	5 Future Scopes
	References
A Phenomenological Approach to Mellin Moments of Parton Distribution Functions
	1 Introduction
	2 Mellin Moments of PDFs
	3 Graphical Analyses and Comparisons of Some PDFs
		3.1 Comparison of PDFs in x
		3.2 Comparison of PDFs in Q
	4 Conclusions
	References
Estimation of Parameters of Some Continuous Distributions Using Frequency Ratio Method Based on Local Information
	1 Introduction
	2 Methodology
		2.1 Frequency Ratio Method of Estimation
		2.2 Double Lomax Distribution
		2.3 Marshall-Olkin Extended Lomax Distribution
		2.4 Two-Parameter Rayleigh Distribution
	3 Results and Discussion
	4 Conclusion
	References
Impact of Information and Communication Technology on Tourist Spending
	1 Introduction
	2 Theoretical Framework
		2.1 Importance of Tourism Worldwide
		2.2 ICT Evolution
		2.3 Incorporation of ICT in the Tourism Industry
	3 Methodology
	4 Results
		4.1 First Stage: Results of the Simple Linear Regression Analysis
		4.2 Second Stage: Results of the Multiple Linear Regression
	5 Discussion
	6 Conclusions
	References
Fluid Modelling
Mathematical Modelling of Mie Scattering for Magnetic Spheres Surrounded by Magnetic Medium
	1 Introduction
	2 Light Scattering Study of Ferrofluid
	3 Lorentz-Mie Scattering of Ferrofluid
	4 Conclusion
	References
A Non-Newtonian Fluid Model for Blood Accounting for the Haematological Disorders
	1 Introduction
	2 Geometry
	3 Flow Equations
	4 Mathematical Model
		4.1 Non-dimensionalization: By Introducing the Non-dimensionalization Scheme
	5 Solution
	6 Validation of Results
	7 Application to Blood Flow in Femoral Arteries
		7.1 WSS Distribution
		7.2 Volumetric Flow Rate Distributions
	8 Statistical Analysis
	9 Conclusion
	References
Numerical Solution of Non-dimensional Contaminant Transport Equation with Varying Coefficients (Temporal) by Haar Wavelet Method
	1 Introduction
	2 Advection–Dispersion Equation (ADE)
	3 Initial Condition and Boundary Condition
	4 Numerical Solutions
	5 Result and Discussion
	6 Conclusion
	References
Computational Analysis of Single-Pass Roughened Solar Air Heater Using Design of Experiment Approach
	1 Introduction
	2 Description of the Problem and a Mathematical Formulation
	3 Governing Equations of SAH
	4 Computational Processing Data
	5 Mesh Creation
	6 CFD Model Verification
	7 Taguchi Method for Experimental Design
	8 Effect of the Governing Parameters on the Performance of the Roughened SAH
		8.1 Inlet Temperature
		8.2 Heat Flux
		8.3 Inlet Velocity
	9 Conclusion
	References
Semi-analytic Numerical Methods to Solve One-Dimensional Dispersion Phenomenon of Miscible Fluid Flow Through Porous Media
	1 Introduction
	2 Formulation of the Problem
		2.1 Problem Solution
		2.2 Methodology
		2.3 Preliminaries
		2.4 Numerical Solution
		2.5 Methodology
		2.6 Numerical Solution
	3 Results and Discussion
	4 Conclusions
	References
The Influence of Magnetic Effect in a Channel Partially Filled with Porous Material: A Numerical Investigation
	1 Introduction
	2 Problem Formulation and Boundary Conditions Element
	3 Analytical Expression for Forchheimer Number F = 0.0
		3.1 Expressions for Velocity
		3.2 Expression of Skin Friction Coefficient
	4 Limiting Case
	5 Results and Discussion
		5.1 Hydrodynamics Velocity
		5.2 Skin Friction Coefficient
	6 Conclusion
	Appendix
	References
A Substantial Model for Blood Flow
	1 Introduction
	2 Geometry of the Problem
	3 Model of Fluid Flow
		3.1 Non-dimensionalisation
	4 Solution
	5 Plots of HAM Approximations
	6 Statistical Analysis on WSS and QF
		6.1 Determining the Characteristics of Model Parameters
		6.2 Behaviour of WSS and QF
		6.3 Significance Tests
		6.4 WSS Distribution
		6.5 QF Distribution
	7 Conclusions
	8 Final Remarks
	References
Analytical Study of Quasi-One-Dimensional Cylindrical Weak Shock Wave Problem Under the Action of Magnetic Field at Stellar Surface
	1 Introduction
	2 Mathematical Formulation of the Problem
	3 Weak Shock Jump Boundary Conditions
	4 Weak Shock Wave Solution in Magneto-Gas-Dynamical Flow at Stellar Surface
	5 Results and Discussion
	6 Conclusion
	References
Numerical Solution for System of Nonlinear Time-Fractional Boussinesq–Burgers Equations in Propagation of Shallow Water Waves
	1 Introduction
	2 Homotopy Analysis Method
	3 Procedure of Homotopy Analysis Method
	4 Results and Discussions
	5 Conclusion
	References
Author Index