Advances in Applied Mathematical Analysis and Applications

✍ Scribed by Mangey Ram, Tadashi Dohi

• Publisher: River Publishers
• Year: 2020
• Tongue: English
• Leaves: 312
• Series: River Publishers Series in Mathematical and Engineering Sciences
• Category: Library

✦ Synopsis

In recent years, applied mathematics has been used in all novel disciplines of scientific development. Advances in Applied Mathematical Problems summarizes interdisciplinary work within the field of applied mathematics.

The topics discussed in the book include:

Similarity Solutions of Spherical Shock Waves in a Self-Gravitating Ideal Gas
Dual Solutions for Finite Element Analysis of Unsteady Hydromagnetic Stagnation Point Flow of Cu-Water Nanofluid Generated by Stretching Sheet
Multiparametric modeling of carbon cycle in temperate wetlands for regional climate change analysis using satellite data
An Intelligent Neuro Fuzzy System for Pattern Classification
Fuzzy inventory model with demand, deterioration and inflation: a comparative study through NGTFN and CNTFN
Summability and its application for the stability of the system
Design Of Manufacturing, Control, And Automation Systems
SEIR - Application for Crop through Water and Soil Texture
Advances in radial basis functions
Modeling For Time Period Of Natural Frequency For Non-Homogeneous Square Plate With Variable Thickness And Temperature Effect
A Study On Metric Fixed Point Theorems Satisfying Integral Type Contractions
Objective Function – In Radiometric Studies –Application to Agrs Surveys Associated With Radon
Modelling Kernel Function in Black body Radiation Inversion

✦ Table of Contents

Front Cover
Half Title
Series Page - RIVER PUBLISHERS SERIES IN MATHEMATICAL AND ENGINEERING SCIENCES
Title Page
Copyright Page
Contents
Preface
Acknowledgements
List of Contributors
List of Figures
List of Tables
List of Abbreviations
Chapter 1 - Similarity Solutions of Spherical Shock Waves in a Self-Gravitating Ideal Gas
1.1 Introduction
1.2 Formulation of Problem
1.3 Similarity Analysis
1.4 Similarity Solutions
1.5 Imploding Shocks
1.6 Results and Discussion
1.7 Conclusion
References
Chapter 2 - Dual Solutions for Finite Element Analysis of Unsteady Hydromagnetic Stagnation Point Flow of Cu – Water Nanofluid Generated by Stretching Sheet
2.1 Introduction
2.2 Formulation of the Problem
2.3 Similarity Transformation
2.4 Local Skin Friction and Local Nusselt Number
2.5 Method of Solution
2.6 Method Validation
2.7 Numerical Results and Discussion
2.8 Conclusions
References
Chapter 3 - Multiparametric Modeling of Carbon Cycle in Temperate Wetlands for Regional Climate Change Analysis Using Satellite Data
3.1 Introduction
3.2 On the Methodology of Emission Analysis
3.2.1 Generalized Approach
3.2.2 On the Uncertainty Control
3.3 Modeling of the Carbon Cycle
3.3.1 Key Model Variables and Parameters
3.3.2 From Local to Global Methane Cycle Modeling: Variables and Parameters
3.3.3 Uncertainty Analysis in the Carbon Models
3.3.4 On the Local Models Integration into the Global Models: A Methodology
3.4 Satellite Tools and Data for the Carbon Cycle Control
3.4.1 Satellite Tools for GHG Monitoring
3.4.2 Satellite Tools for Plant Productivity and Carbon Stock Assessment
3.4.3 Satellite Tools for Uncertainty Assessment in Crops Productivity
3.5 Approach to Emission Assessment and Control
3.5.1 Stochastic Tools for Decision Making in Carbon Emissions Control
3.6 Results of Multiparametric Modeling of Methane Cycle in Temperate Wetlands in View of Regional Climate Change Using Satellite Data
3.7 Conclusions
References
Chapter 4 - An Intelligent Neuro Fuzzy System for Pattern Classification
4.1 Introduction
4.2 Artificial Neural Networks Approach
4.3 Statistical Approach
4.4 Design of an Intelligent Neuro Fuzzy System
4.5 Hybrid Learning Algorithm of Proposed Method
4.6 Forward Pass
4.7 Backward Pass
4.7.1 Rules’ Index Vector
4.8 Simulation Results
4.9 Graphs of Performance Error Vs No. of Iterations
References
Chapter 5 - Fuzzy Inventory Model with Demand, Deterioration and Inflation: A Comparative Study Through NGTFN and CNTFN
5.1 Introduction
5.2 Preliminary Concept
5.3 Notations
5.4 Mathematical Model
5.5 Formulation of Fuzzy Mathematical Model
5.6 Numerical Example
5.7 Sensitivity Analysis
5.8 Concluding Remarks and Future Studies
References
Chapter 6 - Summability and Its Applicationfor the Stability of the System
6.1 Introduction
6.2 Summability Process
6.3 Types of Summability
6.3.1 Ordinary Summability
6.3.2 Strong Summability
6.3.3 Absolute Summability
6.4 Regularity of a Summability Process
6.5 Silverman-Toeplitz Theorem
6.6 Application of Absolute Summable Factor for Stability
6.6.1 Stability of the Frequency Response of the Moving Average System
6.6.2 Stability of the Frequency Response of the Oscillating Impulse System
6.6.3 Stability of the Frequency Response of the Exponential System
6.6.3.1 Stability of frequency response of the exponential system up to n = 0, 1, 2,. . . , 88
6.6.3.2 Stability of frequency response of the exponential system up to n = 0, 1, 2, . . . , 176
6.7 Conclusions
References
Chapter 7 - Design of Manufacturing, Control, and Automation Systems
7.1 Introduction
7.2 Steps in Design of Manufacturing Systems
7.3 Types of Manufacturing
7.4 Additive Manufacturing (AM)
7.4.1 Design of Additive Manufacturing System
7.4.2 Subtractive Type Manufacturing
7.4.3 Machining Process in Subtractive Manufacturing
7.4.4 Cutting Tools for Subtractive Manufacturing
7.5 Rapid Prototyping
7.5.1 Advantages and Disadvantages of Rapid Prototyping
7.5.2 Types of Rapid Prototypes
7.6 Control
7.6.1 Feedback in Control System
7.7 Automation
7.7.1 Application of Automation in Industries
7.7.2 Type of Automation System
7.8 Conclusion
References
Chapter 8 - SEIR – Application for Crop Through Water and Soil Texture
8.1 Introduction
8.1.1 Dynamical System
8.1.2 Dynamics of Crop using Fertile Soil
8.2 Mathematical Modeling
8.3 Stability Analysis
8.3.1 Local Stability
8.3.2 Global Stability
8.4 Numerical Simulation
8.5 Conclusion
References
Chapter 9 - Advances in Radial Basis Functions
9.1 Introduction
9.2 Requirement of Mesh-free Methods
9.3 Radial Basis Function
9.4 Properties of Radial Basis Functions
9.5 Developments in Radial Basis Functions
9.6 Shape Parameters
9.7 RBF Interpolation
9.8 Solution of Differential Equation
9.8.1 Kansa Method
9.8.2 Symmetric Collocation Method
9.8.3 RBF-pseudospectral Approach
9.9 Summary
References
Chapter 10 - Modeling for Time Period of Natural Frequency for Non-Homogeneous Square Plate with Variable Thickness and Temperature Effect
10.1 Introduction
10.2 Literature Survey
10.3 Analysis
10.4 Construction of Problem
10.5 Solution of Problem
10.6 Numerical Illustration and Discussions
10.7 Results Comparison
10.8 Conclusions
References
Chapter 11 - A Study on Metric Fixed Point Theorems Satisfying Integral Type Contractions
11.1 Introduction
11.2 Preliminaries
11.3 Fixed Point Theorem Satisfying Weak Integral Type Rational Contractions
11.4 (; )􀀀 Integral Type Weak Contractions and Fixed-Point Theorems
11.5 Conclusions
References
Chapter 12 - Objective Function – in Radiometric Studies – Application to AGRS Surveys Associated with Radon
12.1 Introduction
12.2 Ordinary and Weighted Linear Regression Models
12.3 Computations of Compton Factors
12.3.1 Study of Variations in Stripping Factors when the Correlation among Radioelements Exists
12.3.2 Estimation of Stripping Factors and their Variations with Flying Heights
12.4 Objective Function for Study of Random Errors in Stripping Coefficients
12.5 Effects of Airborne Bi24 and Error Bias due to It
12.6 Ground and Airborne Experiments
12.7 Results and Discussion
12.7.1 Test Area A
12.7.2 Test Area B
12.7.3 Area of Very High Thorium Concentration
12.7.4 Area of High Uranium Concentration
12.8 Concluding Remarks
References
Chapter 13 - Modeling Kernel Function in Blackbody Radiation Inversion
13.1 Introduction
13.2 Nature and Statement of the Problem
13.3 Towards a Solution to the Problem
13.3.1 Reducing (x) Function to Gaussians
13.3.2 Convolution of Equation (13.4)
13.4 Concluding Remarks
References
Index
About the Editors
Back Cover