دانلود کتاب Recent Trends in Applied Mathematics: Select Proceedings of AMSE 2019 (Lecture Notes in Mechanical Engineering)

فهرست مطالب :

Contents
About the Editors
A Multi-item Deteriorating Inventory Model Under Stock Level-Dependent, Time-Varying, and Price-Sensitive Demand
1 Introduction
2 Notations and Assumptions
3 Mathematical Model Formulation and Solution Methodology
4 Numerical Investigation
5 Sensitivity Analysis
6 Conclusion
References
On Estimation of Reliability Following Selection from Pareto Populations
1 Introduction
2 Deriving the UMVUE
3 An Inadmissibility Result
References
Inventory Model with Partial Backordering and Single Deteriorating Item for a Two-Warehouse System
1 Introduction
2 Notations
3 Assumptions
4 Mathematical Formulation
5 Numerical Examples
6 Sensitivity Analysis
7 Conclusion
References
On Factorization of Sixth-Degree Polynomial of Type-(3,3)
1 Introduction
2 Methodology
3 Determination of Criteria mathcalC(mathcalA)
4 More Auxiliary Equations
5 Conclusion
References
On Determination of -1(2a pa1 )
1 Introduction
2 When xinE(2a Pa1)
3 When xinO(2a pa1)
3.1 When r=1
3.2 When r=2
3.3 When r=3
4 Construction of -1( 2a p1a1 )
4.1 When a=1
4.2 When a=2
4.3 When a=3
5 Conclusion
References
An EOQ Model with Carbon Constraints Without Loss of Generality with Uncertain Cost and Uncertain Carbon Emission Associated with Some Fuzzy Parameters
1 Introduction
2 Mathematical Model
2.1 General Economic Order Quantity Models
2.2 Fuzzy Economic Order Quantity Models
3 Methodology
3.1 Trapezoidal Fuzzy Number
4 Numerical Example
4.1 General Economic Order Quantity Models
4.2 Fuzzy Economic Order Quantity Models
5 Results and Discussion
6 Conclusion
References
Ion Acoustic Solitary Wave Propagation in Collisional Magnetized Nonthermal Plasma
1 Introduction
2 Fluid Model
3 Solution of Damped Zakharov–Kuznetsov (DZK) Equation
4 Results and Discussions
5 Conclusion
References
Particle–Antiparticle Trapping in a Magnetically Quantized Plasma and Its Effect on the Evolution of Solitary Wave
1 Introduction
1.1 Theoretical Formulations
1.2 Linear Analysis
1.3 Evolution Equation of Non-linear Wave
2 Results and Discussion
2.1 Including the Effect of Positron
2.2 Excluding the Effect of Positron
3 Conclusion
References
Study on Analytical Solutions of K-dV Equation, Burgers Equation, and Schamel K-dV Equation with Different Methods
1 Introduction
2 Solutions of K-dV Equation by tanh Method
3 Solutions of K-dV Equation by sech Method
4 Solutions of K-dV Equation by sine-cosine Method
5 Solutions of K-dV Equation by Sine-Gordon Method
6 Solutions of K-dV Equation by G\'G Method
7 Solutions of K-dV Equation by tanh-coth Method
8 Solutions of Burgers Equation by tanh Method
9 Solutions of Burgers Equation by sech Method
10 Solutions of Burgers Equation by (G\'G) Method
11 Solutions of Burgers Equation by Sine-Gordon Method
12 Solutions of Schamel–K-dV Equation by G\'G Method
13 Solutions of Schamel–K-dV Equation by Different Form of G\'G Method
14 Solutions of Coupled Schamel–K-dV Equation by ( G\'G ) Method
15 Solutions of Coupled Schamel–K-dV Equation by Different Form of ( G\'G ) Method
References
Controllability Study on the Symplectic Lie Group Sp(2,mathbbR)
1 Introduction
2 Symplectic Group Sp(2,mathbbR)
3 Driftless Control System on Sp(2,mathbbR)
3.1 Controllability
3.2 The Optimal Control Problem
4 Casimir
5 Stability
6 Numerical Integration of Dynamics
6.1 Kahan’s Integrator
6.2 Lie–Trotter Integrator
7 Trajectory of the Dynamical System
8 Conclusion
References
Pattern Formation from Reaction–Diffusion Equation Using Discretization Method
1 Finite Differences
1.1 Introduction
1.2 Taylor\'s Series
1.3 Constructing Finite Difference Approximation
1.4 Notation for Function of Several Variables
2 Spatiotemporal Model: Pattern Formation
References
Semi-analytical Approach to Solve the System of Nonlinear Differential Equations
1 Introduction
2 Analysis of the Method
3 Application of ADM
4 Results and Discussion
Appendix 1
References
Existence and Ulam Stability Criteria for Antiperiodic Boundary Value Problem of Fractional Difference Equation
1 Introduction
2 Preliminaries
3 Existence and Uniqueness Solutions
4 The Ulam Stability
5 Applications
References
Effect of Electrification on Boundary Layer Stagnation Point Flow of Nanofluid Over a Stretching Sheet
1 Introduction
2 Mathematical Formulation
3 Similarity Transformation
4 Result and Discussion
4.1 Effect of Electrification (M)
4.2 Effect of Stretching Parameter (ε)
4.3 Effect of Viscous Dissipation Parameter (Ec)
4.4 Effect of Thermophoresis Parameter (Nt)
4.5 Effect of Brownian Diffusion Parameter (Nb)
5 Critical Analysis
5.1 Impact of Electrification in Absence of Viscous Dissipation
5.2 Impact of Viscous Dissipation in Absence of Electrification
6 Conclusion
References
Effect of Variable Viscosity on Slow Rotation of a Porous Sphere in a Cavity
1 Introduction
2 Mathematical Formulation
3 Solution of the Problem
4 Torque
5 Conclusion
References
Arbitrary Amplitude Double Layers in Dust Kinetic Alfvén Wave Plasmas with κ-Distributed Electrons
1 Introduction
2 Basic Equations
3 Formulation of the Sagdeev Potential Equation
4 Conditions for the Existence of Solitary Waves and Double Layers
5 Results and Discussions
References
Mathematical Modeling for an Optimal Order Inventory with Demand Dependent Selling Price, Nonlinear Stock, and Nonlinear Holding Cost
1 Introduction
2 Notation and Assumptions
2.1 Assumptions
2.2 Notation
3 Mathematical Modeling of the Inventory Model with Nonlinear Stock Dependent Holding Cost and Nonlinear Demand with Trade Credit
3.1 An Inventory Model with Shortage
4 Theoretical Results and Optimization Procedures
4.1 An Inventory Model with Shortage
5 Numerical Example
6 Sensitivity Analysis
7 Conclusion
References
An Inventory Model for Seasonal Deteriorating Items with Price Dependent Demand and Preservation Technology Investment in Crisp and Fuzzy Environments
1 Introduction
2 Preliminaries
2.1 Normalized General Triangular Fuzzy Number (NGTFN) [12]
3 Notations and Assumptions
3.1 Notations
3.2 Assumptions
4 Mathematical Model Formulation
4.1 Model 1(Crisp)
4.2 Model 2(Fuzzy)
5 Numerical Examples
5.1 Inputs for the Numerical Study
5.2 Sensitivity Analysis
6 Conclusion
References
A Study of Propagation of Love Waves in an Anisotropic Porous Layer Under Initial Stresss
1 Introduction
2 Formulation and Geometry of the Problem
3 Porous Layer
4 Solution of the Upper Layer
5 Solution of the Half-Space
6 Boundary Conditions and Dispersive Equation
7 Particular Cases
8 Observations
9 Numerical Calculations and Discussion
10 Conclusion
References
Deformation of an Elastic-Layer Overlying an Elastic Half-Space Caused by a Finite, Buried, Inclined, Locked Strike-Slip Fault
1 Introduction
2 Literature Review
3 Formulation
3.1 Constitutive Equations
3.2 Stress Equations of Motion
3.3 Boundary Conditions
3.4 Initial Conditions and Conditions at Infinity
4 Method of Solution
4.1 Displacements, Stresses, and Strains in the Absence of Fault Movement
4.2 Displacements, Stresses, Strains After the Commencement of Fault Movement
5 Numerical Computations
6 Result and Discussion
7 Conclusion
Appendix 1
Reference
Influence of Velocity Slip on the MHD Flow of a Micropolar Fluid Over a Stretching Surface
1 Introduction
2 Mathematical Formulation
3 Method of Solution
4 Results and Discussion
5 Conclusive Remarks
References
A Spatially Dependent Vaccination Model with Therapeutic Impact and Non-linear Incidence
1 Introduction
2 The Well-Posedness
3 Auxiliary Results
3.1 Disease-Free and Disease Equilibrium
3.2 Basic Reproduction Number
4 Existence and Uniqueness of the Solution
5 Analysis of Steady States
5.1 Local Steady States
5.2 Global Steady States
6 Uniform Persistence
7 Conclusion
References
Robust Approach for Uncertain Portfolio Allocation Problems Under Box Uncertainty
1 Introduction
2 Preliminaries
2.1 Mean–Variance and Mean-Semi-variance Portfolio Optimization
2.2 Uncertainty in Optimization Problems and the Robust Counterpart
3 Robust Counterparts of Uncertain Mean–Variance and Mean-Semi-variance Models Under Box Uncertainty
3.1 Uncertain Mean–Variance Model
3.2 Uncertain Mean-Semi-variance Model
4 Numerical Example
5 Concluding Remarks
References
Oscillation Theorems for a Class of Nonlinear Difference Equations with Fractional Order
1 Introduction
2 Some Significant Previous Works
3 Basic Lemmas and Preliminaries
4 Main Results
5 Application
References
Numerical Treatment on the Analysis of Heat Transfer of a Magneto-micropolar Fluid over a Continuously Moving Surface with Heat Source/Sink
1 Review and Introduction
2 Formulation of the Problem
3 Physical Quantities of Interest
4 Numerical Method
5 Consequences and Discussion
6 Conclusions
References
A Two Level Supply Chain Model Where Demand Is Stochastic Additive Under Buyback Policy
1 Introduction
2 Literature Review
3 Assumptions and Notations
3.1 Assumptions
3.2 Notations
4 Model Framework
4.1 Centralized Decision Model Through Normal Distribution
4.2 Decentralized Decision Model Through Normal Distribution (DCS)
5 Analysis of an Example
6 Sensitivity Analysis and Discussion
7 Conclusion
References
Analytical Study of MHD Free Convective Flow in a Composite Medium Between Coaxial Vertical Cylinders Partially Filled with Porous Material
1 Introduction
2 Formulation of the Problem
3 Results and Discussion
4 Conclusion
References
Effects of Dissipative Heat Energy and Chemical Reaction on MHD Nanofluid Flow Over a Nonlinearly Stretching Sheet
1 Introduction
2 Mathematical Formulation
3 Physical Quantities of Interest
4 Results and Discussion
5 Conclusive Remarks
References
An Overview of Transverse Vibration of Axially Travelling String
1 Introduction
2 Linear Vibration
2.1 Axially Travelling String with Constant Transport Velocity
2.2 Axially Travelling String Over Elastic Foundation
2.3 Axially Travelling String Under Boundary Damping
2.4 Axially Travelling String in Contact with a Stationary Load System
2.5 Axially Travelling String with a Viscous Fluid Layer
3 Non-linear Vibration
3.1 Axial Travelling String with Geometric Non-linearity
3.2 Axially Travelling String with Viscoelastic Damping
4 Linear Parametric Vibration
4.1 Parametric Vibration of Travelling String Due to Velocity Fluctuation
4.2 Parametric Vibration of Travelling String Over Elastic Foundation
4.3 Parametric Vibration of Travelling String Due to Tension Fluctuation
5 Non-linear Parametric Vibration
5.1 Non-linear Parametric Vibration of Axially Travelling Viscoelastic String
5.2 Non-linear Parametric Vibration of Multi-supported Axially Travelling String
6 Conclusions
References
A New Iterative Methods for a Nonlinear System of Equations with Third and Fifth-Order Convergence
1 Introduction
2 Development of the Methods
3 Convergence Analysis
4 Numerical Examples
5 Conclusion
References
Analytical Solution of Trapped Burgers’ Equation with Tan-hyperbolic Method
1 Introduction
2 The Tan-Hyperbolic Method
3 Trapped Burgers’ Equation with Its Solution
4 Burgers’ equation and its solution:
5 Conclusion
References