Applied Mathematics and Scientific Computing: International Conference on Advances in Mathematical Sciences, Vellore, India, December 2017 - Volume II (Trends in Mathematics Book 2)

This volume is the first of two containing selected papers from the International Conference on Advances in Mathematical Sciences (ICAMS), held at the Vellore Institute of Technology in December 2017. This meeting brought together researchers from around the world to share their work, with the aim of promoting collaboration as a means of solving various problems in modern science and engineering. The authors of each chapter present a research problem, techniques suitable for solving it, and a discussion of the results obtained. These volumes will be of interest to both theoretical- and application-oriented individuals in academia and industry.Papers in __Volume I__ are dedicated to active and open areas of research in algebra, analysis, operations research, and statistics, and those of __Volume II__ consider differential equations, fluid mechanics, and graph theory. Front Matter ....Pages i-xvii Front Matter ....Pages 1-1 Numerical Solution to Singularly Perturbed Differential Equation of Reaction-Diffusion Type in MAGDM Problems (P. John Robinson, M. Indhumathi, M. Manjumari)....Pages 3-12 Application of Integrodifferential Equations Using Sumudu Transform in Intuitionistic Trapezoidal Fuzzy MAGDM Problems (P. John Robinson, S. Jeeva)....Pages 13-20 Existence of Meromorphic Solution of Riccati-Abel Differential Equation (P. G. Siddheshwar, A. Tanuja)....Pages 21-28 Expansion of Function with Uncertain Parameters in Higher Dimension (Priyanka Roy, Geetanjali Panda)....Pages 29-36 Analytical Solutions of the Bloch Equation via Fractional Operators with Non-singular Kernels (A. S. V. Ravi Kanth, Neetu Garg)....Pages 37-45 Solution of the Lorenz Model with Help from the Corresponding Ginzburg-Landau Model (P. G. Siddheshwar, S. Manjunath, T. S. Sushma)....Pages 47-55 Estimation of Upper Bounds for Initial Coefficients and Fekete-Szegö Inequality for a Subclass of Analytic Bi-univalent Functions (G. Saravanan, K. Muthunagai)....Pages 57-65 An Adaptive Mesh Selection Strategy for Solving Singularly Perturbed Parabolic Partial Differential Equations with a Small Delay (Kamalesh Kumar, Trun Gupta, P. Pramod Chakravarthy, R. Nageshwar Rao)....Pages 67-76 Front Matter ....Pages 77-77 Steady Finite-Amplitude Rayleigh-Bénard-Taylor Convection of Newtonian Nanoliquid in a High-Porosity Medium (P. G. Siddheshwar, T. N. Sakshath)....Pages 79-86 MHD Three Dimensional Darcy-Forchheimer Flow of a Nanofluid with Nonlinear Thermal Radiation (Nainaru Tarakaramu, P. V. Satya Narayana, B. Venkateswarlu)....Pages 87-97 Effect of Electromagnetohydrodynamic on Chemically Reacting Nanofluid Flow over a Cone and Plate (H. Thameem Basha, I. L. Animasaun, O. D. Makinde, R. Sivaraj)....Pages 99-107 Effect of Non-linear Radiation on 3D Unsteady MHD Nanoliquid Flow over a Stretching Surface with Double Stratification (K. Jagan, S. Sivasankaran, M. Bhuvaneswari, S. Rajan)....Pages 109-116 Chemical Reaction and Nonuniform Heat Source/Sink Effects on Casson Fluid Flow over a Vertical Cone and Flat Plate Saturated with Porous Medium (P. Vijayalakshmi, S. Rao Gunakala, I. L. Animasaun, R. Sivaraj)....Pages 117-127 An Analytic Solution of the Unsteady Flow Between Two Coaxial Rotating Disks (Abhijit Das, Bikash Sahoo)....Pages 129-138 Cross Diffusion Effects on MHD Convection of Casson-Williamson Fluid over a Stretching Surface with Radiation and Chemical Reaction (M. Bhuvaneswari, S. Sivasankaran, H. Niranjan, S. Eswaramoorthi)....Pages 139-146 Study of Steady, Two-Dimensional, Unicellular Convection in a Water-Copper Nanoliquid-Saturated Porous Enclosure Using Single-Phase Model (P. G. Siddheshwar, B. N. Veena)....Pages 147-155 The Effects of Homo-/Heterogeneous Chemical Reactions on Williamson MHD Stagnation Point Slip Flow: A Numerical Study (T. Poornima, P. Sreenivasulu, N. Bhaskar Reddy, S. Rao Gunakala)....Pages 157-165 The Influence of Wall Properties on the Peristaltic Pumping of a Casson Fluid (P. Devaki, A. Kavitha, D. Venkateswarlu Naidu, S. Sreenadh)....Pages 167-179 Peristaltic Flow of a Jeffrey Fluid in Contact with a Newtonian Fluid in a Vertical Channel (R. Sivaiah, R. Hemadri Reddy, R. Saravana)....Pages 181-189 MHD and Cross Diffusion Effects on Peristaltic Flow of a Casson Nanofluid in a Duct (G. Sucharitha, P. Lakshminarayana, N. Sandeep)....Pages 191-201 Axisymmetric Vibration in a Submerged Piezoelectric Rod Coated with Thin Film (Rajendran Selvamani, Farzad Ebrahimi)....Pages 203-211 Numerical Exploration of 3D Steady-State Flow Under the Effect of Thermal Radiation as Well as Heat Generation/Absorption over a Nonlinearly Stretching Sheet (R. Jayakar, B. Rushi Kumar)....Pages 213-223 Radiated Slip Flow of Williamson Unsteady MHD Fluid over a Chemically Reacting Sheet with Variable Conductivity and Heat Source or Sink (Narsu Siva Kumar, B. Rushi Kumar)....Pages 225-236 Approximate Analytical Solution of a HIV/AIDS Dynamic Model During Primary Infection (Ajoy Dutta, Praveen Kumar Gupta)....Pages 237-244 Stratification and Cross Diffusion Effects on Magneto-Convection Stagnation-Point Flow in a Porous Medium with Chemical Reaction, Radiation, and Slip Effects (M. Bhuvaneswari, S. Sivasankaran, S. Karthikeyan, S. Rajan)....Pages 245-253 Natural Convection of Newtonian Liquids and Nanoliquids Confined in Low-Porosity Enclosures (P. G. Siddheshwar, K. M. Lakshmi)....Pages 255-263 Study of Viscous Fluid Flow Past an Impervious Cylinder in Porous Region with Magnetic Field (D. V. Jayalakshmamma, P. A. Dinesh, N. Nalinakshi, T. C. Sushma)....Pages 265-273 Numerical Solution of Steady Powell-Eyring Fluid over a Stretching Cylinder with Binary Chemical Reaction and Arrhenius Activation Energy (Seethi Reddy Reddisekhar Reddy, P. Bala Anki Reddy)....Pages 275-285 Effect of Homogeneous-Heterogeneous Reactions in MHD Stagnation Point Nanofluid Flow Toward a Cylinder with Nonuniform Heat Source or Sink (T. Sravan Kumar, B. Rushi Kumar)....Pages 287-299 Effects of Thermal Radiation on Peristaltic Flow of Nanofluid in a Channel with Joule Heating and Hall Current (R. Latha, B. Rushi Kumar)....Pages 301-311 Chemically Reactive 3D Nonlinear Magneto Hydrodynamic Rotating Flow of Nanofluids over a Deformable Surface with Joule Heating Through Porous Medium (E. Kumaresan, A. G. Vijaya Kumar)....Pages 313-323 MHD Carreau Fluid Flow Past a Melting Surface with Cattaneo-Christov Heat Flux (K. Anantha Kumar, Janke V. Ramana Reddy, V. Sugunamma, N. Sandeep)....Pages 325-336 Effect of Porous Uneven Seabed on a Water-Wave Diffraction Problem (Manas Ranjan Sarangi, Smrutiranjan Mohapatra)....Pages 337-345 Nonlinear Wave Propagation Through a Radiating van der Waals Fluid with Variable Density (Madhumita Gangopadhyay)....Pages 347-355 Effect of Slip and Convective Heating on Unsteady MHD Chemically Reacting Flow Over a Porous Surface with Suction (A. Malarselvi, M. Bhuvaneswari, S. Sivasankaran, B. Ganga, A. K. Abdul Hakeem)....Pages 357-365 Solution of Wave Equations and Heat Equations Using HPM (Nahid Fatima, Sunita Daniel)....Pages 367-374 Nonlinear Radiative Unsteady Flow of a Non-Newtonian Fluid Past a Stretching Surface (P. Krishna Jyothi, G. Sarojamma, K. Sreelakshmi, K. Vajravelu)....Pages 375-384 Heat Transfer Analysis in a Micropolar Fluid with Non-Linear Thermal Radiation and Second-Order Velocity Slip (R. Vijaya Lakshmi, G. Sarojamma, K. Sreelakshmi, K. Vajravelu)....Pages 385-395 Analytical Study on Heat Transfer Behavior of an Orthotropic Pin Fin with Contact Resistance (M. A. Vadivelu, C. Ramesh Kumar, M. M. Rashidi)....Pages 397-405 Numerical Investigation of Developing Laminar Convection in Vertical Double-Passage Annuli (Girish N, M. Sankar, Younghae Do)....Pages 407-415 Heat and Mass Transfer on MHD Rotating Flow of Second Grade Fluid Past an Infinite Vertical Plate Embedded in Uniform Porous Medium with Hall Effects (M. Veera Krishna, M. Gangadhar Reddy, A. J. Chamkha)....Pages 417-427 High-Power LED Luminous Flux Estimation Using a Mathematical Model Incorporating the Effects of Heatsink and Fins (A. Rammohan, C. Ramesh Kumar, M. M. Rashidi)....Pages 429-438 Soret and Dufour Effects on Hydromagnetic Marangoni Convection Boundary Layer Nanofluid Flow Past a Flat Plate (D. R. V. S. R. K. Sastry, Peri K. Kameswaran, Precious Sibanda, Palani Sudhagar)....Pages 439-449 Front Matter ....Pages 451-451 An Algorithm for the Inverse Distance-2 Dominating Set of a Graph (K. Ameenal Bibi, A. Lakshmi, R. Jothilakshmi)....Pages 453-459 γ-Chromatic Partition in Planar Graph Characterization (M. Yamuna, A. Elakkiya)....Pages 461-468 Coding Through a Two Star and Super Mean Labeling (G. Uma Maheswari, G. Margaret Joan Jebarani, V. Balaji)....Pages 469-478 Computing Status Connectivity Indices and Its Coindices of Composite Graphs (K. Pattabiraman, A. Santhakumar)....Pages 479-487 Laplacian Energy of Operations on Intuitionistic Fuzzy Graphs (E. Kartheek, S. Sharief Basha)....Pages 489-495 Wiener Index of Hypertree (L. Nirmala Rani, K. Jennifer Rajkumari, S. Roy)....Pages 497-505 Location-2-Domination for Product of Graphs (G. Rajasekar, A. Venkatesan, J. Ravi Sankar)....Pages 507-515 Local Distance Pattern Distinguishing Sets in Graphs (R. Anantha Kumar)....Pages 517-525 Construction of Minimum Power 3-Connected Subgraph with k Backbone Nodes in Wireless Sensor Networks (D. Pushparaj Shetty, M. Prasanna Lakshmi)....Pages 527-535 Fuzzy Inference System Through Triangular and Hendecagonal Fuzzy Number (A. Felix, A. D. Dhivya, T. Antony Alphonnse Ligori)....Pages 537-546 Computation of Narayana Prime Cordial Labeling of Book Graphs (B. J. Balamurugan, K. Thirusangu, B. J. Murali, J. Venkateswara Rao)....Pages 547-553 Quotient-3 Cordial Labeling for Path Related Graphs: Part-II (P. Sumathi, A. Mahalakshmi)....Pages 555-561 Relation Between k-DRD and Dominating Set (S. S. Kamath, A. Senthil Thilak, Rashmi M)....Pages 563-572 The b-Chromatic Number of Some Standard Graphs (A. Jeeva, R. Selvakumar, M. Nalliah)....Pages 573-580 Encode-then-Encrypt: A Novel Framework for Reliable and Secure Communication (Rajrupa Singh, C. Pavan Kumar, R. Selvakumar)....Pages 581-594 New Bounds of Induced Acyclic Graphoidal Decomposition Number of a Graph (Mayamma Joseph, I. Sahul Hamid)....Pages 595-601 Dominating Laplacian Energy in Products of Intuitionistic Fuzzy Graphs (R. Vijayaragavan, A. Kalimulla, S. Sharief Basha)....Pages 603-612 Power Domination Parameters in Honeycomb-Like Networks (J. Anitha, Indra Rajasingh)....Pages 613-621 Improved Bound for Dilation of an Embedding onto Circulant Networks (R. Sundara Rajan, T. M. Rajalaxmi, Joe Ryan, Mirka Miller)....Pages 623-632 This volume is the first of two containing selected papers from the International Conference on Advances in Mathematical Sciences (ICAMS), held at the Vellore Institute of Technology in December 2017. This meeting brought together researchers from around the world to share their work, with the aim of promoting collaboration as a means of solving various problems in modern science and engineering. The authors of each chapter present a research problem, techniques suitable for solving it, and a discussion of the results obtained. These volumes will be of interest to both theoretical- and application-oriented individuals in academia and industry. Papers in Volume I are dedicated to active and open areas of research in algebra, analysis, operations research, and statistics, and those of Volume II consider differential equations, fluid mechanics, and graph theory.