Advances in Mathematical Modelling, Applied Analysis and Computation : Proceedings of ICMMAAC 2023 – Volume 1 / edited by Jagdev Singh, George A. Anastassiou, Dumitru Baleanu, Devendra Kumar.

Format:

Book

Contributor:

Singh, Jagdev, editor.

Series:

Lecture Notes in Networks and Systems, 2367-3389 ; 952

Language:

English

Subjects (All):

Engineering mathematics.

Mathematics--Data processing.

Mathematics.

Mathematical models.

Dynamics.

Nonlinear theories.

Engineering Mathematics.

Computational Science and Engineering.

Mathematical Modeling and Industrial Mathematics.

Computational Mathematics and Numerical Analysis.

Applied Dynamical Systems.

Local Subjects:

Engineering Mathematics.

Computational Science and Engineering.

Mathematical Modeling and Industrial Mathematics.

Computational Mathematics and Numerical Analysis.

Applied Dynamical Systems.

Physical Description:

1 online resource (397 pages)

Edition:

1st ed. 2024.

Place of Publication:

Cham : Springer Nature Switzerland : Imprint: Springer, 2024.

Summary:

This book gathers selected research articles presented in the “6th International Conference on Mathematical Modelling, Applied Analysis and Computation (ICMMAAC)”, held at JECRC University, Jaipur, during August 3–5, 2023. This book is focused on articles dealing with necessary theory and techniques in a balanced manner, and contributes towards solving mathematical problems arising in physics, engineering, chemistry, biological systems, medicine, networking system, control systems, environmental sciences, social issues of current interest and more. Annually held since 2018, the ICMMAAC conference aimed, in particular, to foster cooperation among practitioners and theoreticians in these fields. This proceedings is an invaluable resource for researchers, academicians and professionals associated or interested in current advances in different aspects of mathematical modelling, computational algorithms and analysis necessary for handling real-world problems.

Contents:

Intro

Contents

Trigonometric and Hyperbolic Korovkin Theory

1 Introduction

2 Main Results

2.1 Trigonometric Approximation by Positive Linear Operators

2.2 Hyperbolic Approximation by Positive Linear Operators

3 Applications

References

Solution of Bicomplex Time Fractional Schrödinger Equation Involving Bicomplex Mittag-Leffler Function

2 Preliminaries

3 Integral Representation and Euler Identity for Bicomplex Mittag-Leffler Function

4 Application of Euler Identity for the Solution of Bicomplex Time Fractional Schrödinger's equation (SE)

4.1 Solution for Free Particle

4.2 Solution for Potential Well

5 Conclusion

On Copositive Matrices and Completely Mixed Games

2.1 Motivation

3 Main Result

4 Conclusions

Wavelet Neural Network Solutions for Riccati Differential Equations: The Vieta-Fibonacci Approach

2 Vieta-Fibonacci Wavelet Neural Network (VFWNN) Approach

2.1 Structure of VFWNN

2.2 Learning Algorithm of VFWNN

3 Computational Methodology

4 Numerical Simulations

5 Results and Discussions

6 Conclusion

Diet &amp

Diabetes: An Intuitionistic Fuzzy Multiobjective Model

2 Prerequisities

2.1 Intuitionistic Fuzzy Set

2.2 Multi-objective Linear Programming Problem

3 Methodology

4 Model Design

5 Numerical Example

On Characteristics of t-Norms Under the Doubt Q-Fuzzy T-Sub Algebra and Ideals in BP-Algebra

2 Basic Concepts

3 On Characteristics of FileRef="551340_1_En_6_Figi_HTML.png" Format="PNG" Color="BlackWhite" Type="Linedraw" Rendition="HTML" Height="33" Resolution="300" Width="19"-Norms Under the Doubt Q-Fuzzy T-Sub Algebra and Ideals in BP-Algebra

4 Conclusion.

References

Study of Quadcopter Movement Using CFD and PID with Numerical Methods

2 Related Work

3.1 Quadcopter Kinematics

3.2 Quadcopter Dynamics

3.3 Mathematical Models

3.4 PID Controller

4 Results and Discussion

5 Conclusion and Future Work

Effect of Magnetic-Field Modulation on the Instability of Micropolar Nanofluid Filled Within Hele-Shaw Cell

2 Mathematical Equations

2.1 Basic Solution

2.2 Perturb State

2.3 Linear Evaluation

3 Normal Mode Approach

3.1 Non-linear Analysis

4 Heat/Nanopartical Concentration Transport

5 Results/Discussion

5.1 Linear Stability

5.2 Non-linear Stability

6 Conclusions

A Study of Cost Minimization: Replenishment Decision for Items with Stock Dependent Demand Using Combined Payment Modes

2 Mathematical Framework

2.1 Assumptions

2.2 Mathematical Model

3 Solution Process

4 Exemplars

4.1 Example 1

4.2 Example 2

4.3 Example 3

5 Result and Discussion

A Mathematical Study of Reproduction Number and Its Control Strategies in Some Early Epidemic and Corona-Virus Epidemic Model

2 Reproduction Number

2.1 Formation R0 in the SI Model

2.2 R0 is Calculated from the SI Model with an Incubation Delay

2.3 Calculating R0 from the SIR Model

2.4 R0 of Next-Generation Matrix

3 Utilizing Reproduction Numbers to Provide Control Methods

3.1 Type and Target Reproduction Numbers

3.2 Sensitivity and Elasticity

4 Will Everyone Get Affected by an Epidemic?

5 Greatest Fluency

6 Some Early Epidemic Models and Calculation Reproduction

6.1 A Model for West Nile Virus

7 Zika Model

7.1 Vital Reproduction

8 Different COVID-19 Model.

8.1 Coronavirus Disease Transmission Model with Asymptomatic and Symptomatic Individuals

8.2 COVID-19 Model in Quarantine

9 More Information

10 Conclusion

On the Elliptic-Type Integrals Associated with Generalized Incomplete Hypergeometric Functions with Generating Functions

2 Theorems

4 Particular Case

5 Conclusions

A Computational and Comparative Analysis of Medical Image Fusion Using Different Transform Domain Techniques

2 Transform Domain Algorithms

2.1 Pyramid‑Based Image Fusion

2.2 Image Transform-Based Image Fusion

2.3 Fusion Based on Filtering

3 Performance Measures

4 Simulation Results Analysis and Discussions

Advancing Efficiency in Agricultural Automation: A Kinematic Model for a Parallel 4-DoF SCARA System

3 Materials and Method

3.1 Law of Cosines

4 Result and Discussion

6 Future Work

Mathematical Model of Time-Fractional Diffusion Equation in Drug-Eluting Stent

2 Mathematical Modelling

3 Approximate Solution

Transformations and Reductions of Srivastava-Daoust Type Double Hypergeometric Functions

2 Alternative Proof for the Theorem 2.1 Due to Liu and Wang ch15lw14

3 Generalized Double Series Transformations

4 Srivastava-Daoust Type Transformation and Reduction Formulas

4.1 Results Based on Theorem 2

4.2 Reduction Formulas Based on Theorem 4

4.3 Results Based on Theorem 5

4.4 Results Based on Theorem 6

4.5 Results Based on Theorem 8

4.6 Results Based on Theorem 9

References.

The Impact of Alternative Food Sources on Chaos Occurrence and Control: Insights from the Leslie-Gower Type Tritrophic Food Chain Model

2 Model Formulation

3 Boundedness of the Model

4 Existence and Local Stability of Equilibrium Points

5 Permanence and Impermanence

6 Hopf Bifurcation

7 Global Stability

8 Numerical Results

9 Discussion

Anti-intuitionistic Fuzzy Soft Modules in BCK/BCI-Algebras

3 Anti-intuitionistic Fuzzy Soft BCI/BCK-Algebras

4 Anti-intuitionistic Fuzzy Soft Modules

5 Fuzzy BCK-Modules

6 Anti-intuitionistic Fuzzy Soft BCK-Modules

Cubic B-Spline Technique for Numerical Solution of Second Order Convection-Diffusion PDEs

2 Cubic B-Spline Approximation

2.1 Initial Values

3 Stability Analysis

4 Numerical Examples and Results

Integral Transforms and Generalized Quotient Space on the Torus

2 Generalized Quotient Spaces

3 Space of Generalized Quotients on the Torus B_S^(T^d)

4 Mellin Transform for Generalized Quotients on Torus

5 Wavelet Transform for Generalized Quotient on Torus

Thermal Instability of the Couple-Stress on Micro Polar Fluid Flow

2 Mathematical Formulation

3 Basic State

4 Linearize Perturbation Equations

5 Boundary Conditions

6 Dispersion Relation

6.1 Normal Mode Analysis

7 Stationary Convection

8 Oscillatory Convection

9 Numerical Calculation by MATLAB

10 Conclusions

Neutrosophic Decision-Making in Eco-Friendly Logistics: A Case of Fractional Solid Transportation Optimization

2 Sourcing Decision Problem

3 Fundamentals

4 Mathematical Model

5 The Proposed Model.

6 Sequential Steps of the Proposed Approach

7 Exemplification

8 Implication

9 Conclusion

The Combinatorial Impact of Through-Flow and G-Jitter on Instability Exploration of a Rotating Layer of Nano-Liquid with the Magnetic Field

2 Mathematical Structure

3 Basic Outcome

4 Perturbed State

5 Linear Stability Analysis

5.1 Technique/Method

5.2 Stationary Mode of Convection

6 Non-Linear Analysis

7 Heat and Mass Transportation

8 Result/ Discussion

8.1 Linear Exploration

8.2 Non-Linear Stability

8.3 Streamlines

9 Conclusions

Fractional Elzaki Variational Iteration Method for Solving Nonlinear Biological Population Model

3 Analysis of EVIM

4 Applications

Dual Hesitant Fermatean Fuzzy Hamacher Operators in the Evaluation of Healthcare Sustainability

2 Dual Hesitant Fermatean Fuzzy Set (DHFFS)

2.1 Definition

2.2 Elementary Operations

2.3 Score Function

3 Novel Hamachar Operatons and Score Function

3.1 Hamachar Operators

3.2 Score Function

4 Dual Hesitant Fermatean Fuzzy Hamacher Prioritized Aggregation Operators

4.1 Dual Hesitant Fermatean Fuzzy Hamacher Arithmetic Aggregation Operators

4.2 Dual Hesitant Fermatean Fuzzy Hamacher Geometric Aggregation Operators

5 Proposed Methodology

6 Case Study

7 Conclusions

Author Index.

Notes:

Includes bibliographical references and index.

ISBN:

3-031-56307-7