Mathematical Modeling and Computational Tools -- ICACM 2018, Kharagpur, India, November 23–25

Contents......Page 6
 Electrokinetic Transport Phenomenon......Page 10
 An Overview on Analytic Expressions for Electrophoretic Velocity of Rigid Colloids......Page 11
1 Introduction......Page 12
2 Governing Equations......Page 13
3.1 Smoluchowski Equation for Thin EDL......Page 15
3.2 Huckel's Limit for Thick EDL......Page 16
3.3 Henry's Theory......Page 18
3.4 Ohshima's Model......Page 23
4 Electrophoresis of Hydrophobic Rigid Colloid......Page 28
5 Conclusion......Page 29
References......Page 30
 Solute Transport and Mixing Efficiency on Electrokinetic Flow in a Heterogeneous Microchannel......Page 31
1 Introduction......Page 32
2 Mathematical Model......Page 33
3 Numerical Schemes......Page 36
4 Results and Discussions......Page 37
4.1 Solute Mixing......Page 40
5 Conclusions......Page 43
References......Page 44
1 Introduction......Page 46
2 Physical Model......Page 47
3 Mathematical Formulation......Page 48
5 Results and Discussion......Page 49
5.2 Comparison with Slip Model......Page 50
5.3 Flow and Temperature Field......Page 51
5.4 Average Entropy Generation......Page 53
5.5 Average Bejan Number......Page 54
References......Page 55
 Influence of Thermophoresis and Brownian Motion on MHD Mixed Convective Chemically Reacting Couple Stress Fluid Flow in Porous Medium Between Parallel Plates......Page 57
1 Introduction......Page 59
2 Formulation of the Problem......Page 61
3 Problem Solution......Page 64
4 Results and Discussions......Page 65
5 Conclusions......Page 68
References......Page 73
 Modelling of Fluid Flow......Page 76
1 Introduction......Page 77
3 Grid Generation......Page 78
5.1 CFD Validation......Page 79
5.2 Velocity Contours......Page 82
6 Conclusions......Page 83
References......Page 85
1 Introduction......Page 86
2.1 Governing Equation......Page 87
2.3 Dimensionless Form of Governing Equation Together with Initial and Boundary Conditions......Page 88
3 Numerical Solution......Page 89
4.2 Validation of the Solution......Page 90
4.4 Impact of Hindered Settling Mechanism on Concentration Profile......Page 91
References......Page 92
1 Introduction......Page 94
2 Mathematical Model......Page 96
3.1 Variation of Concentration Profile with ......Page 98
3.3 Validation of the Model......Page 99
4 Conclusions......Page 100
References......Page 101
1 Introduction......Page 103
3 Problem Formulation......Page 104
4 The Solution to the Problem......Page 106
5.1 Effect of the Fluid Parameters on the Flow......Page 107
5.2 Effect of the Flow Parameters on the Flow......Page 111
5.3 Effect of the Material Parameters on the Flow......Page 113
References......Page 115
 Unsteady Stagnation Point Nanofluid Flow Over a Stretching Sheet with Thermal Radiation......Page 117
1 Introduction......Page 118
2 Formulation of the Problem......Page 119
4 Results and Discussion......Page 122
5 Outcomes of the Investigation......Page 127
References......Page 129
1 Introduction......Page 131
2 Determination of Fluid State......Page 134
3 The System of Governing Equations......Page 135
4 Classification of Components of Periodic Fluid Flows......Page 138
5 Dispersion Equation of the Linearized Fundamental Equations System......Page 140
6 Nonlinear Effects: Example of Complete Solutions of the Basic System......Page 144
7 Fine Structure of Flows Induced by Free-Falling Drop Impact......Page 146
8 Discussion of Results......Page 148
9 Conclusion......Page 149
References......Page 150
 Dynamical System Theory of Flow Instability Using the Impulse and the Frequency Response Approaches......Page 152
1 Introduction......Page 153
2 Formulation of the Impulse and the Frequency Response......Page 155
3 The Utility of the Signal Problem......Page 158
5 The Frequency Response of the Blasius Boundary Layer......Page 159
6.1 Impulsive Excitation at the Wall by a Heaviside Function......Page 163
6.2 Non-impulsive Excitation at the Wall Given by Ramp and Error Function......Page 164
7 The Frequency Response Obtained from the Solution of the Navier–Stokes Equation......Page 166
8 Summary and Conclusion......Page 167
References......Page 168
1 Introduction......Page 171
2 Mathematical Formulation......Page 172
3 Solution of the Problem......Page 175
4 Entropy Generation......Page 177
5 Results and Discussion......Page 178
6 Conclusion......Page 181
References......Page 190
 Numerical Techniques to Physical Problems......Page 191
1 Introduction......Page 192
2 Mathematical Model......Page 194
2.1 Nusselt Number and Entropy Generation......Page 196
4 Grid Independence Test and Validation of Code......Page 197
5.1 Fluid Flow and Thermal Fields......Page 198
5.2 Effect of Different Parameters on Nuav......Page 201
5.3 Effect of Different Parameters on Sav......Page 202
5.4 Enhancement Factor......Page 204
6 Conclusion......Page 205
References......Page 206
1 Introduction......Page 209
2 Prerequisite Mathematics......Page 210
4 Proposed Model Under Impreciseness......Page 211
5 Fixed Points and Stability Analysis of Prey–Predator System......Page 212
5.1 Dynamic Behavior of the Model......Page 213
5.3 Local Stability and Dynamic Behavior Around Interior Fixed Point......Page 214
6 Flip Bifurcation......Page 215
7 Chaos Control......Page 217
8 Numerical Simulation......Page 218
References......Page 221
1 Introduction......Page 224
2 Finite Difference Schemes......Page 225
2.1 Explicit Scheme......Page 227
2.2 Implicit Scheme......Page 228
3 Test Problem and Verification......Page 230
References......Page 234
1 Introduction......Page 236
2 Preliminaries......Page 238
2.2 Chebyshev Polynomials......Page 239
3 Proposed Scheme......Page 240
4 Numerical Example......Page 243
References......Page 244
1 Introduction......Page 246
2 Geometry of the Human Heart Model (Left Coronary Artery)......Page 247
3 Grid Generation......Page 248
5 Governing Equations......Page 249
6 Results and Discussion......Page 250
References......Page 251
1 Introduction......Page 252
2 Mathematical Formulation......Page 253
3 Numerical Procedure......Page 255
4 Results and Discussions......Page 256
5 Conclusions......Page 259
References......Page 260
1 Introduction......Page 261
2.1 Mathematical Formulation......Page 264
3 Numerical Procedure......Page 266
4 Crater Dimension Prediction Using Static Crater Simulation Scheme......Page 268
5 Crater Dimension Prediction with Dynamic Crater Simulation Scheme......Page 271
References......Page 276
 Existence, Bifurcation, and Multiplicity Results for a Class of ntimesn p-Laplacian System......Page 278
1 Introduction......Page 279
2 Proof of Theorem 1.1......Page 281
3 Proof of Theorems 1.2–1.3......Page 283
4 Example......Page 289
References......Page 290
1 Introduction......Page 291
1.1 Literature on Eq. (2)......Page 293
3 Uniqueness Theorem......Page 294
4.1 Example 1......Page 301
5 Conclusion......Page 302
References......Page 303
1 Introduction......Page 304
2 Mathematical Model and Numerical Technique......Page 306
3 Results and Discussion......Page 309
4 Conclusions......Page 310
References......Page 312
1 Introduction......Page 314
2 Mathematical Formulation......Page 316
3 Solution Methodology......Page 318
4 Results and Related Discussions......Page 320
5 Conclusion......Page 321
References......Page 322
1 Introduction......Page 324
2.1 For the FGPM Layer......Page 325
3.1 For the Layer by Liouville–Green (LG) Method......Page 327
3.3 For Liquid Layer......Page 330
4 Boundary Conditions......Page 331
5 Numerical Examples and Discussions......Page 332
6 Conclusions......Page 334
References......Page 336
 Graph Theory and Optimization......Page 337
1 Introduction......Page 338
2 Preliminaries......Page 339
3 Main Results......Page 341
3.1 Some Lower Bounds on ISI Index of Vertex Semi-total Graphs......Page 342
3.2 Some Upper Bounds on ISI Index of Vertex Semi-total Graphs......Page 344
3.3 ISI Index for R-Sum and Rt-Sum of Graphs......Page 346
4 Conclusion......Page 347
References......Page 348
1 Introduction......Page 349
2.2 Single-Objective Optimisation......Page 350
2.4 Fuzzy Multi-Objective Optimisation......Page 351
3.2 Fuzzy Arithmetic......Page 352
4 A New Algorithm for MOOP with Fuzzy Variables......Page 354
6 Conclusion......Page 356
7 MATLAB Code......Page 358
References......Page 363
 Multi-choice Chance-Constrained Programming Problems Using Genetic Algorithm......Page 365
1 Introduction......Page 366
2 Multi-choice Chance-Constrained Programming Model......Page 367
2.1 Conversion of MCCCP to Deterministic MCP......Page 368
2.2 Transformation Techniques for MCP Problem......Page 370
3 Genetic Algorithm......Page 372
3.1 GA for MCP Problem......Page 373
4 Numerical Example......Page 375
References......Page 378
1 Introduction......Page 380
2 Bounds for the ISI Index for Edge-Semitotal and Total Graphs......Page 382
3 The ISI Indices of Q-Sums and T-Sums......Page 385
4 Conclusion......Page 390
References......Page 391
1 Introduction......Page 392
2 New F-Sums of Graphs......Page 394
3.1 The First Zagreb Index of G1 otimesF G2......Page 396
3.2 Second Zagreb Index of G1 otimesF G2......Page 398
4 Conclusion......Page 400
References......Page 401
1 Introduction......Page 402
2 Preliminaries......Page 406
3 Oscillation Criteria......Page 410
4 Example......Page 419
References......Page 420
 Optimal Investment Decision Model Based on Simplex Algorithm with Variable Optimal Value Evaluation Process......Page 422
2 Literature Defining Investment Decision Support Technical Terms......Page 423
3 A Constrained Linear Programming Modeled Investment Problem and the Optimal Decision Variable Calculation......Page 424
4 Bank Loan Policy Decision by Using Binary Integer Program......Page 430
5 Conclusion......Page 431
References......Page 432
 Stochastic Modelling and Machine Learning......Page 433
 Asymptotic Theory of Bayes Factor in Stochastic Differential Equations with Increasing Number of Individuals......Page 434
1 Introduction......Page 435
2.1 The Structure of the SDE Models to Be Compared......Page 437
2.3 Model Selection with Respect to the Drift Function and the Covariates......Page 438
2.5 The iid and the Non-iid Set-Ups......Page 439
2.7 A Key Relation Between Ui,θj and Vi,θj in the Context  of Model Selection Using Bayes Factors......Page 440
3 Requisite Assumptions and Results for the Asymptotic Theory of Bayes Factor When nrightarrowinfty but Ti Are Constants for Every i......Page 441
4 Convergence of Bayes Factor in the SDE-Based iid Set-Up......Page 442
4.1 A General Result on Consistency of Bayes Factor  in the iid Set-Up......Page 443
5.1 The Basic Set-Up......Page 445
6 Specialization of Non-iid Asymptotic Theory of Bayes Factors to Non-iid SDE Set-Up Where Ti Are Constants for Every i but nrightarrowinfty......Page 447
7.1 Covariate Selection When n=15, T=1......Page 449
8 Summary and Conclusion......Page 451
References......Page 452
1 Introduction......Page 454
3.1 Pre-processing......Page 457
3.3 Text Shape Structure Analysis......Page 459
4 Dataset and Experiments......Page 461
5 Performance Metrics......Page 463
6 Conclusion......Page 464
References......Page 465
1 Introduction......Page 467
2 Literature Review......Page 468
3 Creation of Search Space......Page 469
4 Methodology......Page 470
4.1 Stages and Dynamics......Page 471
4.2 Implementation......Page 475
5 Evolutionary Nature (Threaded Data Structures)......Page 476
6 Completeness......Page 477
References......Page 478
 Stochastic Modeling of Earthquake Interevent Counts (Natural Times) in Northwest Himalaya and Adjoining Regions......Page 480
2 Formulation of Natural Time Statistics......Page 481
3 Study Area and Earthquake Data......Page 482
4 Methodology, Results and Conclusions......Page 483
References......Page 485
1 Introduction......Page 487
2 Some Measures in Network Analysis......Page 488
3 Airport Network of India and Three Airlines Networks......Page 490
4 Robustness of Airline Networks......Page 491
5 Conclusion......Page 495
References......Page 496