Mathematics and Computing

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. Divided into 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.

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 t