Advances in Numerical Methods (eBook)

Table of Contents 6
Applied mathematics 10
Chapter 1 Similarity solutions of an MHD boundary-layer flow of a non- Newtonian fluid past a continuous moving surface 11
1.1 Introduction 11
1.2 Existence of infinitely many solutions 15
1.3 Numerical results 20
References 21
Chapter 2 Computational complexity investigations for high- dimensional model representation algorithms used in multivariate interpolation problems 23
2.1 Introduction 24
2.2 Data partitioning via HDMR 25
2.3 Data partitioning via GHDMR 27
2.4 Interpolation 29
2.5 Factorized HDMR 30
2.6 Hybrid HDMR 31
2.7 Error analysis 32
2.8 Numerical implementations 33
2.9 HDMR-based implementations 34
2.10 GHDMR-based implementations 35
2.11 Concluding remarks 36
References 37
Chapter 3 On competition between modes of the onset of Marangoni convection with free- slip bottom under magnetic field 38
3.1 Introduction 38
3.2 Problem formulation 39
3.3 Linearized problem 41
3.4 Solution of the linearized problem 42
3.5 Results 44
3.6 Conclusions 47
References 47
Chapter 4 Mathematical modeling of boundary layer flow over a moving thin needle with variable heat flux 49
4.1 Introduction 50
4.2 Mathematical formulation 51
4.3 Results and discussion 54
4.4 Conclusions 58
References 59
Chapter 5 The parallel three-processor fifth-order diagonally implicit Runge– Kutta methods for solving ordinary differential equations 61
5.1 Introduction 62
5.2 The Runge–Kutta method 62
5.3 Derivation of fifth-order parallel Runge–Kutta methods for three processors 65
5.4 Numerical experiments 68
5.5 Conclusion 71
References 71
Chapter 6 Comparative study of production control systems through simulation 73
6.1 Introduction 73
6.2 Production process 74
6.3 Simulation models 76
6.4 Performance measures 79
6.5 Model validation 79
6.6 Results 80
6.7 Conclusion 83
References 83
Chapter 7 A DEA and goal programming approach to demand assignment problem 85
7.1 Introduction 85
7.2 Literature review 87
7.3 Problem definition and application of the model 88
7.4 Conclusion 91
References 92
Chapter 8 Space– time mixture model of infant mortality in peninsular Malaysia from 1990 to 2000 93
8.1 Introduction 94
8.2 Methodology 97
8.3 Result 100
8.4 Discussion 101
References 104
Chapter 9 A novel hybrid high-dimensional model representation ( HDMR) based on the combination of plain and logarithmic high- dimensional model representations 106
9.1 Introduction 107
9.2 HDMR 108
9.3 Logarithmic HDMR 111
9.4 New version of hybrid HDMR 113
9.5 Implementations 114
9.6 Conclusion 115
References 116
Chapter 10 A decision support system to evaluate the competitiveness of nations 117
10.1 Introduction 118
10.2 Proposed methodology 119
10.3 Ranking countries based on the proposed weighted criteria index 125
10.4 Conclusion and further suggestions 128
References 128
Chapter 11 Numerical analysis for kinetics and yield of wood biomass pyrolysis 130
11.1 Introduction 131
11.2 Problem formulation 131
11.3 Results 134
11.4 Conclusions 139
References 139
Chapter 12 Maintenance of the pre-large trees for record deletion 140
12.1 Introduction 141
12.2 Review of related works 142
12.3 The proposed deletion algorithm 143
12.4 An example 146
12.5 Experiments 149
12.6 Conclusion 150
References 151
Chapter 13 ALE method in the EFG crystal growth technique 152
13.1 Introduction 153
13.2 ALE kinematics description 154
13.3 Mathematical description 156
13.4 Numerical results 159
13.5 Conclusions 161
References 162
Chapter 14 Application of e-learning methods in the curricula of the faculty of computer science 163
14.1 Introduction 164
14.2 Format of lecture materials 166
14.3 Help in creating virtual community 166
14.4 Internet-based system for online studies management 167
14.5 Analysis of using the EDU system 170
14.6 Significance of the new form of studies for the Institute as a whole 171
14.7 Using online methods for stationary courses 171
14.8 Conclusions 172
14.9 UNDP project 172
References 173
Chapter 15 Hierarchical Bayesian approach for ranking of accident blackspots with reference to cost of accidents 174
15.1 Introduction 175
15.2 Data 175
15.3 Cost ratio of fatal to serious injury accident 176
15.4 The hierarchical Bayesian model 176
15.5 Discussion of results 178
15.6 Conclusions 178
References 180
Circuits, systems, electronics, control and signal processing 181
Chapter 16 Impulsive noise removal image ehancement technique 182
16.1 Introduction 182
16.2 Proposed scheme 184
16.3 Adaptive threshold selection 187
16.4 Simulation results 189
16.5 Conclusions 191
References 192
Chapter 17 Similarity- based model for transliteration 194
17.1 Introduction 195
17.2 The proposed English–Arabic proper noun transliteration pairs creation approach 196
17.3 Experimental results 199
17.4 Conclusions 204
References 205
Chapter 18 Heart rate variation adaptive filtering based on a special model 206
18.1 Introduction 206
18.2 HF HRV signal analysis 207
18.3 Conventional adaptive filtering 208
18.4 The proposed model 209
18.5 Simulations 211
18.6 Conclusion 216
References 217
Chapter 19 Performance evaluation of table-driven and buffer- adaptive WLANs 218
19.1 Introduction 218
19.2 The IEEE 802.11 MAC protocol 219
19.3 System analysis for the ideal standard case without backoff 221
19.4 Table-driven WLANs 223
19.5 Buffer-adaptive WLANs 225
19.6 Simulation results 225
19.7 Conclusion 233
References 234
Chapter 20 A new algorithm in blind source separation for high- dimensional data sets such as MEG data 235
20.1 Introduction 236
20.2 Multidimensional independent components 237
20.3 Detection of multidimensional independent components 238
20.4 Proposed algorithm 240
20.5 Separation via proposed algorithm 241
20.6 Conclusions 245
References 245
Chapter 21 Visible light source temperature estimation using digital camera photography 247
21.1 Introduction 248
21.2 Camera characteristics 248
21.3 Source image acquisition 250
21.4 Image processing 252
21.5 Results and conclusion 255
References 256
Chapter 22 Discrete decentralized observation of large-scale interconnected systems 257
22.1 Introduction 257
22.2 Problem formulation 258
22.3 An algorithm for discrete decentralized observation 264
22.4 Illustrative example 266
22.5 Conclusion 268
References 268
Chapter 23 Improved iterative blind image deconvolution 269
23.1 Introduction 269
23.2 Blur model 270
23.3 Review of IBD 271
23.4 Proposed improvement 272
23.5 Simulation results 274
23.6 Conclusions 275
References 275
Chapter 24 Design of a linear quadratic Gaussian controller for a manufacturing process 277
24.1 Introduction 277
24.2 Principles of design 279
24.3 The controller structure 280
24.4 Conclusions 284
References 285
Chapter 25 3D reconstruction and isometric representation of engineering drawings 287
25.1 Introduction 287
25.2 3D Reconstruction and isometric representations 289
25.3 Comparison between SVG and DXF 290
25.4 Summary 293
25.5 Future recommendations 293
References 294
Chapter 26 Implementation of the box-counting method in radiographic images 296
26.1 Introduction 296
26.2 The dimension and fractals 297
26.3 The box-counting method 300
26.4 The range of box sizes 304
26.5 Choice of box sizes 305
26.6 Determination of breakpoint in the log–log plot 306
26.7 Conclusion 307
References 308
Chapter 27 Aeroelastic simulation of wind turbine blades 309
27.1 Introduction 309
27.2 Calculation of bending frequencies 310
27.3 Resolution of the flapwise motion equation 311
27.4 Equation of coupled movement 317
27.5 Conclusion 318
References 318
Chapter 28 Time- delay telerobot system control model research 320
28.1 Introduction 321
28.2 Control model 321
28.3 Simulation 327
28.4 Conclusion 329
References 329
Chapter 29 Hardware implementation of a multidimensional signal analysis system 330
29.1 Introduction 330
29.2 Overview of the implemented architecture 332
29.3 FPGA implementation approach 334
29.4 Testing and verification 338
29.5 Conclusion 340
References 340
Chapter 30 Space- filling fractal microstrip antenna 342
30.1 Introduction 342
30.2 Initiator of Koch and pulse 2.45 antenna 343
30.3 Koch microstrip patch antenna 345
30.4 Pulse 2.45 antenna iterations 354
30.5 The second iteration of pulse 2.45 antenna modification 357
30.6 Experimental results 359
30.7 Conclusion 361
References 361
Chapter 31 Reliability assessment and improvement of medium power induction motor winding insulation protection system using predictive analysis 362
31.1 Introduction 362
31.2 Induction motor stator winding failure mechanisms 363
31.3 Failure probability quantification 365
31.4 Fault tree analysis (FTA) of stator insulation failure 365
31.5 Protection system description 366
31.6 Event tree analysis (ETA) 367
31.7 Protection system improvement 369
31.8 Conclusion 371
Appendix 371
References 373
Chapter 32 Feature extraction by wavelet transforms to analyze the heart rate variability during two meditation techniques 374
32.1 Introduction 374
32.2 Methods 376
32.3 Justification and purpose of the study 376
32.4 Feature extraction 377
32.5 Results and discussion 379
32.6 Conclusion 381
References 382
Chapter 33 Fractional mechanical model for the dynamics of non- local continuum 383
33.1 Introduction 383
33.2 Basics on fractional calculus 384
33.3 Fractional model of integral non-local elasticity 391
33.4 Elastic bar with long-range interactions: Unbounded domain 394
33.5 Analysis of finite domain with long-range interactions 398
33.6 The mechanical equivalent model of non-local bar 402
33.7 Dynamics of the non-local fractional model 405
33.8 Numerical applications 407
33.9 Conclusions 412
Appendix: Properties of fractional operators 413
References 415
Chapter 34 Fuzzy control for shape memory alloy tendon-actuated robotic structure 418
34.1 Introduction 419
34.2 Fuzzy logic control 419
34.4 Dynamics of two-link tendon-driven robotic structure 422
34.5 Shape memory actuator structure 423
34.6 Fuzzy control applied to shape memory alloy serial-link robotic structure 426
34.7 Conclusion 430
References 431
Chapter 35 Implementing delayed file loading functions 432
35.1 Introduction 432
35.2 Problem formulation 433
35.3 Class implementation 436
35.4 Conclusion 437
References 437
Author Index 438
Subject Index 440