Mathematics and Computing ICMC 2022, Vellore, India, January 6–8

This book comprises select peer-reviewed articles submitted for the proceedings of the International Conference on Mathematics and Computing (ICMC 2022), held by the School of Advanced Sciences, Vellore Institute of Technology, Vellore, India, in association with Ramanujan Mathematical Society, India, Cryptology Research Society of India and Society for Electronic Transactions and Security, India, from 6–8 January 2022. With an aim to identify the existing challenges in the areas of mathematics and computing, the book emphasizes the importance of establishing new methods and algorithms to address these challenges.

The book includes topics on diverse applications of cryptology, network security, cyber security, block chain, IoT, mobile network, data analytics, applied algebra, mathematical analysis, mathematical modelling, fluid dynamics, fractional calculus, multi-optimization, integral equations, dynamical systems, numerical analysis and scientific computing. Dividedinto five major parts—applied algebra and analysis, fractional calculus and integral equations, mathematical modelling and fluid dynamics, numerical analysis, and computer science and applications—the book is a useful resource for students, researchers and faculty as well as practitioners.

PART 1: APPLIED ALGEBRA AND ANALYSIS: S. Krishnan and K. Shunmugaiah, On the Genus of the Annihilator-Ideal Graph of Commutative Ring.- Niranjan P.K., The Radio $k$-Chromatic Number for the Corona of Arbitrary Graph and $K_1$.- Latha Devi Puli and Manjula K., Some Parameters of Restricted Super Line Graphs.- G. Ganesan, Edge Constrained Eulerian Extensions.- C. Phanjoubam and S. Mawiong, Bounds of Some Energy-Like Invariants of Neigbourhood Corona of Graphs.- M. Kumar, Neelesh S. Upadhye, and A.K.B. Chand, Linear Recurrent Fractal Interpolation Function for Data Set with Gaussian Noise.- V. Vijay and A.K.B. Chand, $C^1$-Rational Quadratic Trigonometric Spline Fractal Interpolation Functions.- P. Rajan, A. K. Bedabrata Chand and María A. Navascués, Cyclic Multivalued Iterated Function Systems.- E. Savas, On Almost Convergence and Statistical Convergence of Weight g.- Tamilarasi W. and Balamurugan B.J., Non-Neighbor Topological Indices on Covid-19 Drugs with Qspr Analysis.- Tejuswini M.and Shilpa N., Some Results on Differential Polynomials of Meromorphic Functions Sharing Certain Values.- G. Murugusundaramoorthy, Thomas Rosy, and Asha Thomas, A Subclass of Pseudo-Type Meromorphic Bi-Univalent Functions of Complex Order Associated with Linear Operator.- Malathi V. and Vijaya K., Bi-Starlike Function of Complex Order based on Double Zeta Functions Associated with Crescent Shaped Region.- G. Bisht and S. Kumar, Fuzzy Rule based Expert System for Multi Assets Portfolio Optimization.- B. Ganesan and M. Annamala, Stability Analysis of Additive Time Varying T-S Fuzzy System using Augmented Lyapunov Functional.- PART 2: FRACTIONAL CALCULUS AND INTEGRAL EQUATIONS: R. Teppawar, R. Ingle and R. Muneshwar, Solution of Fractional Differential Equations by using Conformable Fractional Differential Transform Method with Adomain Polynomials.- R. Muneshwar, K. Bondar, Y. Shirole, and V. Mathpati, Generalized results on Existence and Uniqueness with Wronskian and Abel Formula for a-Fractional Differential Equations.- D. Karunarathna and M. Dewasurendra, Method of Directly Defining the Inverse Mapping for Nonlinear Ordinary and Partial Fractional Order Differential Equations.- M. Latha Maheswari and R. Nandhini, Existence Results for Nonlocal Impulsive Fractional Neutral Functional Integro-Differential Equations with Bounded Delay.- G Tamil Preethi, N. B. Gatti, and N. Magesh, An Application of Conformable Fractional Differential Transform Method for Smoking Epidemic Model.- K. Sarkar and B. Mondal, Analysis of a Fractional Order Predator-Prey Model with Nonlinear Harvesting.- Rahul and N. K. Mahato, Solvability of Infinite System of Volterra Integral Equations in the Tempered Spaces.- S.V. Babar and S.G. Latpate, On Generalizations of Integral Inequalities and Its Applications.- PART 3:    MATHEMATICAL MODELLING AND FLUID DYNAMICS: B. Belay and A. Abebaw, Optimizing Multi-Objective Chance Constraint Quadratic Fractional Programming Problem.- S. Khatri and A. Prasad, Higher-Order Variational Symmetric Duality Over Cone Constraint.- S. Pal and D. Chutia, On Generalized Energy Inequality of the Damped Navier–Stokes Equations with Navier–Slip Boundary Conditions.- S. Sangapatnam, S. Ketineni, B. Anki R. Polu, and R. ul Haq Satti, The Diathermic Oils over a Thin Liquid Film with Mos2 Nano Particles: A Model with Analysis of Shape Factor Effects.- B. Sarkar and Soumen De, Dissipation of Wave Energy by Thin Multiple Partially Immersed Vertical Porous Walls in Water of Uniform Finite Depth.- A. Adhe and A. Kirtiwant Ghadle, Thermal Stress Analysis of Inhomogeneous Infinite Solid to 2D Elasticity of Thermoelastic Problems.- M. Udupa and S. Saha, Study of Non-Newtonian Models for 1D Blood Flow through a Stenosed Carotid Artery.- M. Nagavalli, T. Ling Raju, and P. K. Kameswaran, Two-Layered Fluid Flow of Ionized Gases in a Channel between Two Parallel Porous Plates under Applied Magnetic Field with Hall Effect.- S. Rao Gunakala, V. Job, and J. Veronique, Influence of Heat Transfer, Chemical Reaction and Variable Fluid Properties on Oscillatory MHD Couette Flow through a Partially-Porous Channel.- I. Ramarao, P. N Basavaraju, and Jagadeesha S., Effect of Heat Transfer on Peristaltic Transport of Prandtl Fluid in an Inclined Porous Channel.- A. Kumar Das and S. C. Rana, Comparative Analysis of Flow in S-Diffusers using Standard K-?, Realizable K-? and Renormalized Group K-? Models.- N. Lakhmara and H. S. Mahato, A Multiscale Model of Stokes–Cahn–Hilliard Equations in a Porous Medium: Modeling Analysis and Homegenization.- A. Samanta, Water Wave Scattering by a Wide Rectangular Impediment with a Vent Placed under a Finite Depth Water Body with Ice Covered Surface.- P. Kumar and Dipesh, Sensitivity and Directional Analysis of Two Mutually Competing Plant Population under Allelopathy using DDE.- N. Ghosh and H. S. Mahato, Pore Scale Analysis and Homogenization of a Diffusion–Reaction–Dissolution–Precipitation Model.- R. Saha, C. Benitez, K. Cimbalista, J. Pek, and Padmanabhan Seshaiye, Mathematical Modeling and Computing to Study the Influence of Quarantine Levels and Common Mitigation Strategies on the Spread of Covid-19 on a Higher Education Campus.- PART 4: NUMERICAL ANALYSIS: S. Patel, L. Panigrahi, and G. Nelakanti, Numerical Solution of the Fredholm Integral Equations of the First Kind by using Multi-Projection Methods.- A. Kumar and S. Kumari, Local Convergence of a Family of Kurchatov Like Methods for Nonlinear Equations.- S. Tomar and K. Vajravelu, An Effective Scheme for Solving Second-Order Two-Point Boundary Value Problems.- M. M. Ayub Hossain and B. M. Ikramul Haque, An Analytic Solution for the Helmholtz–Duffing Oscillator by Modified Mickens’ Extended Iteration Procedure.- K. Takale and V. Sangvikar, C. Nicolson, Finite Difference Scheme for Time–Space Fractional Diffusion Equation.- N. C. Bhagat and P. K. Parida, Gauss-Newton–Kurchatov Method for the Solution of Nonlinear Least Square Problem using Omega Condition.- P.K. Parida and S. Nisha, An Exponential Bisection Newton-Like Method of Third-Order for Enclosing Simple Roots of Nonlinear Equations.- PART 5: COMPUTER SCIENCE AND APPLICATION: S. Karanwal, Color Multiscale Block-ZigZag LBP: An Efficient and Discriminant Face Descriptor.- A. Dhiman, Effect of Noise in the Quantum Network Implementation of Cop and Robber Game.- P. Singh, N. Bhandari, N. Bisht, and S. Bisht, Design of Energy Efficient IoMT Electrocardiogram Machine on 28 nm FPGA.- Study of Decoherence in Quantum Cournot Duopoly Game using Modified EWL Scheme.

Rushi Kumar B. is Professor of Mathematics, School of Advanced Sciences of Vellore Institute of Technology (VIT), Tamil Nadu, India. His research interests include mathematical modelling, computational fluid dynamics and computational data science. His research is funded by DST under a bilateral exchange program and CSC follow-on grants by the Royal Society, London. Dr Kumar teaches topics like advanced mathematical methods, applied numerical methods, applications of differential and difference equations and calculus for engineers. He is an eminent scholar in applied mathematics research and a recipient of many research and teaching awards. He is a life member of the Indian Mathematical Society, Indian Society of Theoretical and Applied Mechanics and Andhra Pradesh Society for Mathematical Sciences. He delivered several invited talks at national and international conferences, seminars, workshops and faculty development programs. He has guided nine PhD students and is acclaimed in the academic circles for his erudition in the field of mathematics and computing.

S. Ponnusamy is the Institute Chair Professor at the Indian Institute of Technology Madras, India, and the President of the Ramanujan Mathematical Society, India. He earned his PhD from the Indian Institute of Technology Kanpur, India, in 1989; M.Sc. and B.Sc. respectively in 1992 and 1980, from the University of Madras, Chennai, India. His research interest includes complex analysis, quasiconformal and harmonic mappings, special functions, and functions spaces. Professor Ponnusamy is the founding Fellow of the Forum de Analystes, Chennai, India. He was elected as a Fellow of The National Academy of Sciences, India in the year 2002 and has been a Senior Associate of The Abdus Salam International Centre for Theoretical Physics. He served five years as the Head of the Indian Statistical Institute, Chennai Centre (2012–2017). He has been associated with a number of organizations for popularization of science and serves on the editorial boards of several peer-reviewed international journals.

He has been a referee for more than 100 journals. He is often invited to deliver plenary talks at international conferences and to give lectures at universities all over the world. He took part as a researcher in many funded projects in India and Abroad. Professor Ponnusamy has written four textbooks and another textbook with Herb Sivlerman. One of his books won the Best Selling Author Award in 2002. He has edited several edited volumes and international conference proceedings. He has published more than 250 technical articles in reputed international journals and has solved several long standing open problems and conjectures. He has been Visiting Professor of a number of universities in abroad: Hengyang Normal University and Hunan Normal University, China; Kazan Federal University and Petrozavodsk State University, Russia; University Sains Malaysia, Malaysia; Aalto University, the University of Turku, and the University of Helsinki, Finland; University of South Australia, Adelaide; Texas Tech University, USA.

Debasis Giri is Associate Professor at the Department of Information Technology, Maulana Abul Kalam Azad University of Technology (formerly, the West Bengal University of Technology), Haringhata, West Bengal, India. He received his M.Sc., M.Tech, and PhD degrees from the Indian Institute of Technology Kharagpur, India, in 1998, 2001, and 2009, respectively. He is 10th all India rank holder in the Graduate Aptitude Test in Engineering (GATE) examination, in 1999. He received a certificate from the All India Science Teachers’ Association in Science Aptitude and Talent Search Test in 1988. His research interests include cryptography, network security, security based on machine learning, data hiding and security in WSN.

He has authored more than 80 research papers in reputed international journals, conference proceedings andbook chapters. He is on the editorial board of several international journals: Information Security and Applications, Security and Privacy, International Journal of Communication Systems, and Security and Communication Networks. He is also Reviewer for many reputed international journals. He is a member of IEEE, and a life member of Cryptology Research Society of India, the International Society for Analysis, its Applications and Computation (ISAAC) and Computer Society of India.

Bhavani Thuraisingham is the Founder Chair Professor of Computer Science (since 2004), Senior Strategist in Cyber Security and Data Science (since 2021), and the Founding Executive Director of the Cyber Security Research and Education Institute (2004–2021) at the University of Texas at Dallas, USA. She is also Visiting Senior Research Fellow at Kings College, the University of London, UK, conducting research on IoT security, a member of the Scientific Councilof the