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E-grāmata: Advances in Applied Mathematical Analysis and Applications [Taylor & Francis e-book]

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Advances in Applied Mathematical Analysis and ApplicationsPalielināt
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In recent years, applied mathematics has beenused in all novel disciplines of scientific development. Advances in Applied Mathematical Problems summarizes interdisciplinary work within the field of appliedmathematics.      

Thetopics 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 NaturalFrequency For Non-Homogeneous Square Plate With Variable Thickness AndTemperature Effect
  • A Study On Metric Fixed PointTheorems Satisfying Integral Type Contractions
  • Objective Function – In Radiometric Studies –Application to AgrsSurveys Associated With Radon
  • Modelling Kernel Function in Black body Radiation Inversion
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(22)
Astha Chauhan
Rajan Arora
1.1 Introduction
1(2)
1.2 Formulation of Problem
3(2)
1.3 Similarity Analysis
5(3)
1.4 Similarity Solutions
8(5)
1.5 Imploding Shocks
13(2)
1.6 Results and Discussion
15(4)
1.7 Conclusion
19(1)
References
19(4)
2 Dual Solutions for Finite Element Analysis of Unsteady Hydromagnetic Stagnation Point Flow of Cu - Water Nanofluid Generated by Stretching Sheet
23(28)
Santosh Chaudhary
K.M. Kanika
2.1 Introduction
24(2)
2.2 Formulation of the Problem
26(2)
2.3 Similarity Transformation
28(1)
2.4 Local Skin Friction and Local Nusselt Number
29(1)
2.5 Method of Solution
29(3)
2.6 Method Validation
32(1)
2.7 Numerical Results and Discussion
32(14)
2.8 Conclusions
46(1)
References
47(4)
3 Multiparametric Modeling of Carbon Cycle in Temperate Wetlands for Regional Climate Change Analysis Using Satellite Data
51(44)
Anna Kozlova
Lesia Elistratova
Yuriy V. Kostyuchenko
Alexandr Apostolov
Igor Artemenko
3.1 Introduction
52(2)
3.2 On the Methodology of Emission Analysis
54(3)
3.2.1 Generalized Approach
54(2)
3.2.2 On the Uncertainty Control
56(1)
3.3 Modeling of the Carbon Cycle
57(15)
3.3.1 Key Model Variables and Parameters
57(4)
3.3.2 From Local to Global Methane Cycle Modeling: Variables and Parameters
61(4)
3.3.3 Uncertainty Analysis in the Carbon Models
65(1)
3.3.4 On the Local Models Integration into the Global Models: A Methodology
66(6)
3.4 Satellite Tools and Data for the Carbon Cycle Control
72(7)
3.4.1 Satellite Tools for GHG Monitoring
72(1)
3.4.2 Satellite Tools for Plant Productivity and Carbon Stock Assessment
73(2)
3.4.3 Satellite Tools for Uncertainty Assessment in Crops Productivity
75(4)
3.5 Approach to Emission Assessment and Control
79(3)
3.5.1 Stochastic Tools for Decision Making in Carbon Emissions Control
80(2)
3.6 Results of Multiparametric Modeling of Methane Cycle in Temperate Wetlands in View of Regional Climate Change Using Satellite Data
82(5)
3.7 Conclusions
87(3)
References
90(5)
4 An Intelligent Neuro Fuzzy System for Pattern Classification
95(18)
Abdu Masanawa Sagir
Saratha Sathasivam
4.1 Introduction
96(1)
4.2 Artificial Neural Networks Approach
97(1)
4.3 Statistical Approach
97(1)
4.4 Design of an Intelligent Neuro Fuzzy System
97(1)
4.5 Hybrid Learning Algorithm of Proposed Method
98(1)
4.6 Forward Pass
98(2)
4.7 Backward Pass
100(4)
4.7.1 Rules' Index Vector
101(3)
4.8 Simulation Results
104(2)
4.9 Graphs of Performance Error Vs No. of Iterations
106(4)
References
110(3)
5 Fuzzy Inventory Model with Demand, Deterioration and Inflation: A Comparative Study Through NGTFN and CNTFN
113(26)
Magfura Pervin
Sankar Kumar Roy
5.1 Introduction
114(1)
5.2 Preliminary Concept
115(3)
5.3 Notations
118(1)
5.4 Mathematical Model
118(3)
5.5 Formulation of Fuzzy Mathematical Model
121(8)
5.6 Numerical Example
129(1)
5.7 Sensitivity Analysis
130(1)
5.8 Concluding Remarks and Future Studies
130(4)
References
134(5)
6 Summability and Its Application for the Stability of the System
139(20)
Smita Sonker
Alka Munjal
6.1 Introduction
139(2)
6.2 Summability Process
141(1)
6.3 Types of Summability
142(1)
6.3.1 Ordinary Summability
142(1)
6.3.2 Strong Summability
142(1)
6.3.3 Absolute Summability
143(1)
6.4 Regularity of a Summability Process
143(1)
6.5 Silverman-Toeplitz Theorem
143(1)
6.6 Application of Absolute Summable Factor for Stability
144(12)
6.6.1 Stability of the Frequency Response of the Moving Average System
144(3)
6.6.2 Stability of the Frequency Response of the Oscillating Impulse System
147(3)
6.6.3 Stability of the Frequency Response of the Exponential System
150(1)
6.6.3.1 Stability of frequency response of the exponential system up to n = 0, 1,2,, 88
151(2)
6.6.3.2 Stability of frequency response of the exponential system up to n = 0, 1,2, 176
153(3)
6.7 Conclusions
156(1)
References
157(2)
7 Design of Manufacturing, Control, and Automation Systems
159(20)
Mohit Pant
Mohit Sood
Aeshwarya Dixit
Sahil Garg
7.1 Introduction
159(2)
7.2 Steps in Design of Manufacturing Systems
161(1)
7.3 Types of Manufacturing
162(1)
7.4 Additive Manufacturing (AM)
162(4)
7.4.1 Design of Additive Manufacturing System
163(1)
7.4.2 Subtractive Type Manufacturing
163(1)
7.4.3 Machining Process in Subtractive Manufacturing
164(1)
7.4.4 Cutting Tools for Subtractive Manufacturing
165(1)
7.5 Rapid Prototyping
166(5)
7.5.1 Advantages and Disadvantages of Rapid Prototyping
166(1)
7.5.2 Types of Rapid Prototypes
167(4)
7.6 Control
171(2)
7.6.1 Feedback in Control System
172(1)
7.7 Automation
173(2)
7.7.1 Application of Automation in Industries
174(1)
7.7.2 Type of Automation System
174(1)
7.8 Conclusion
175(1)
References
176(3)
8 SEIR - Application for Crop Through Water and Soil Texture
179(14)
Nita H. Shah
Ekta N. Jayswal
Moksha H. Satia
Foram A. Thakkar
8.1 Introduction
179(2)
8.1.1 Dynamical System
179(1)
8.1.2 Dynamics of Crop using Fertile Soil
180(1)
8.2 Mathematical Modeling
181(3)
8.3 Stability Analysis
184(2)
8.3.1 Local Stability
184(1)
8.3.2 Global Stability
185(1)
8.4 Numerical Simulation
186(3)
8.5 Conclusion
189(1)
References
190(3)
9 Advances in Radial Basis Functions
193(16)
Geeta Arora
Gurpreet Singh Bhatia
9.1 Introduction
193(1)
9.2 Requirement of Mesh-free Methods
194(1)
9.3 Radial Basis Function
195(1)
9.4 Properties of Radial Basis Functions
195(1)
9.5 Developments in Radial Basis Functions
196(1)
9.6 Shape Parameters
196(2)
9.7 RBF Interpolation
198(2)
9.8 Solution of Differential Equation
200(5)
9.8.1 Kansa Method
200(1)
9.8.2 Symmetric Collocation Method
201(1)
9.8.3 RBF-pseudospectral Approach
201(4)
9.9 Summary
205(1)
References
205(4)
10 Modeling for Time Period of Natural Frequency for Non-Homogeneous Square Plate with Variable Thickness and Temperature Effect
209(20)
Reeta Bhardwaj
Naveen Mani
Amit Sharma
10.1 Introduction
209(1)
10.2 Literature Survey
210(3)
10.3 Analysis
213(1)
10.4 Construction of Problem
214(2)
10.5 Solution of Problem
216(2)
10.6 Numerical Illustration and Discussions
218(5)
10.7 Results Comparison
223(1)
10.8 Conclusions
224(1)
References
225(4)
11 A Study on Metric Fixed Point Theorems Satisfying Integral Type Contractions
229(20)
Naveen Mani
Amit Sharma
Reeta Bhardwaj
Satishkumar M. Bhati
11.1 Introduction
230(1)
11.2 Preliminaries
230(4)
11.3 Fixed Point Theorem Satisfying Weak Integral Type Rational Contractions
234(9)
11.4 (tt, (p)--- Integral Type Weak Contractions and Fixed-Point Theorems
243(3)
11.5 Conclusions
246(1)
References
246(3)
12 Objective Function - in Radiometric Studies - Application to AGRS Surveys Associated with Radon
249(16)
Shivvaran Singh Raghuwanshi
12.1 Introduction
249(1)
12.2 Ordinary and Weighted Linear Regression Models
250(2)
12.3 Computations of Compton Factors
252(4)
12.3.1 Study of Variations in Stripping Factors when the Correlation among Radioelements Exists
253(2)
12.3.2 Estimation of Stripping Factors and their Variations with Flying Heights
255(1)
12.4 Objective Function for Study of Random Errors in Stripping Coefficients
256(2)
12.5 Effects of Airborne Bi24 and Error Bias due to It
258(1)
12.6 Ground and Airborne Experiments
259(1)
12.7 Results and Discussion
260(1)
12.7.1 Test Area A
260(1)
12.7.2 Test Area B
260(1)
12.7.3 Area of Very High Thorium Concentration
261(1)
12.7.4 Area of High Uranium Concentration
261(1)
12.8 Concluding Remarks
261(1)
References
262(3)
13 Modeling Kernel Function in Blackbody Radiation Inversion
265(12)
Shivvaran Singh Raghuwanshi
13.1 Introduction
265(1)
13.2 Nature and Statement of the Problem
266(3)
13.3 Towards a Solution to the Problem
269(7)
13.3.1 Reducing $(x) Function to Gaussians
272(2)
13.3.2 Convolution of Equation (13.4)
274(2)
13.4 Concluding Remarks
276(1)
References
276(1)
Index 277(4)
About the Editors 281
Mangey Ram, Tadashi Dohi
Permanent link: https://www.kriso.lv/db/9781003337072_pe.html
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