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Advances in applied mathematical analysis and applications /

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 Sh...

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Bibliographic Details
Corporate Author: Taylor & Francis
Other Authors: Ram, Mangey (Editor), Dohi, Tadashi (Editor)
Format: eBook
Language:English
Published: Gistrup, Denmark : River Publishers, [2019]
Series:River Publishers series in mathematical and engineering sciences.
Subjects:
Engineering mathematics.
Science > Mathematics.
Mathematics.
Mathematics
Mathématiques de l'ingénieur.
Sciences > Mathématiques.
Mathématiques.
MATHEMATICS / Set Theory
SCIENCE / Energy
Engineering mathematics
Science > Mathematics
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Preface xiii
  • Acknowledgements xv
  • List of Contributors xvii
  • List of Figures xxi
  • List of Tables xxv
  • List of Abbreviations xxvii
  • 1 Similarity Solutions of Spherical Shock Waves in a Self-Gravitating Ideal Gas 1 Astha Chauhan and Rajan Arora 1.1 Introduction 1
  • 1.2 Formulation of Problem 3
  • 1.3 Similarity Analysis 5
  • 1.4 Similarity Solutions 8
  • 1.5 Imploding Shocks 13
  • 1.6 Results and Discussion 15
  • 1.7 Conclusion 19
  • References 19
  • 2 Dual Solutions for Finite Element Analysis of Unsteady Hydromagnetic Stagnation Point Flow of Cu -Water Nanofluid Generated by Stretching Sheet 23 Santosh Chaudhary and KM Kanika 2.1 Introduction 24
  • 2.2 Formulation of the Problem 26
  • 2.3 Similarity Transformation 28
  • 2.4 Local Skin Friction and Local Nusselt Number 29
  • 2.5 Method of Solution 29
  • 2.6 Method Validation 32
  • 2.7 Numerical Results and Discussion 32
  • 2.8 Conclusions 46
  • References 47
  • 3 Multiparametric Modeling of Carbon Cycle in Temperate Wetlands for Regional Climate Change Analysis Using Satellite Data 51 Anna Kozlova, Lesia Elistratova, Yuriy V. Kostyuchenko, Alexandr Apostolov and Igor Artemenko 3.1 Introduction 52
  • 3.2 On the Methodology of Emission Analysis 54
  • 3.2.1 Generalized Approach 54
  • 3.2.2 On the Uncertainty Control 56
  • 3.3 Modeling of the Carbon Cycle 57
  • 3.3.1 Key Model Variables and Parameters 57
  • 3.3.2 From Local to Global Methane Cycle Modeling: Variables and Parameters 61
  • 3.3.3 Uncertainty Analysis in the Carbon Models 65
  • 3.3.4 On the Local Models Integration into the Global Models: A Methodology 66
  • 3.4 Satellite Tools and Data for the Carbon Cycle Control 72
  • 3.4.1 Satellite Tools for GHG Monitoring 72
  • 3.4.2 Satellite Tools for Plant Productivity and Carbon Stock Assessment 73
  • 3.4.3 Satellite Tools for Uncertainty Assessment in Crops Productivity 75
  • 3.5 Approach to Emission Assessment and Control 79
  • 3.5.1 Stochastic Tools for Decision Making in Carbon Emissions Control 80.
  • 3.6 Results of Multiparametric Modeling of Methane Cycle in Temperate Wetlands in View of Regional Climate Change Using Satellite Data 82
  • 3.7 Conclusions 87
  • References 90
  • 4 An Intelligent Neuro Fuzzy System for Pattern Classification 95 Abdu Masanawa Sagir and Saratha Sathasivam 4.1 Introduction 96
  • 4.2 Artificial Neural Networks Approach 97
  • 4.3 Statistical Approach 97
  • 4.4 Design of an Intelligent Neuro Fuzzy System 97
  • 4.5 Hybrid Learning Algorithm of Proposed Method 98
  • 4.6 Forward Pass 98
  • 4.7 Backward Pass 100
  • 4.7.1 Rules' Index Vector 101
  • 4.8 Simulation Results 104
  • 4.9 Graphs of Performance Error Vs No. of Iterations 106
  • References 110
  • 5 Fuzzy Inventory Model with Demand, Deterioration and Inflation: A Comparative Study Through NGTFN and CNTFN 113 Magfura Pervin and Sankar Kumar Roy 5.1 Introduction 114
  • 5.2 Preliminary Concept 115
  • 5.3 Notations 118
  • 5.4 Mathematical Model 118
  • 5.5 Formulation of Fuzzy Mathematical Model 121
  • 5.6 Numerical Example 129
  • 5.7 Sensitivity Analysis 130
  • 5.8 Concluding Remarks and Future Studies 130
  • References 134
  • 6 Summability and Its Application for the Stability of the System 139 Smita Sonker and Alka Munjal 6.1 Introduction 139
  • 6.2 Summability Process 141
  • 6.3 Types of Summability 142
  • 6.3.1 Ordinary Summability 142
  • 6.3.2 Strong Summability 142
  • 6.3.3 Absolute Summability 143
  • 6.4 Regularity of a Summability Process 143
  • 6.5 Silverman-Toeplitz Theorem 143
  • 6.6 Application of Absolute Summable Factor for Stability 144
  • 6.6.1 Stability of the Frequency Response of the Moving Average System 144
  • 6.6.2 Stability of the Frequency Response of the Oscillating Impulse System 147
  • 6.6.3 Stability of the Frequency Response of the Exponential System 150
  • 6.6.3.1 Stability of frequency response of the exponential system up to n = 0, 1, 2,. , 88
  • 151
  • 6.6.3.2 Stability of frequency response of the exponential system up to n = 0, 1, 2, , 176
  • 153
  • 6.7 Conclusions 156.