The volume contains original research papers as the Proceedings of the International Conference on Advances in Mathematics and Computing, held at Veer Surendra Sai University of Technology, Odisha, India, on 7-8 February, 2020. It focuses on new trends in applied analysis, computational mathematics and related areas. It also includes certain new models, image analysis technique, fluid flow problems, etc. as applications of mathematical analysis and computational mathematics.
The volume should bring forward new and emerging topics of mathematics and computing having potential applications and uses in other areas of sciences. It can serve as a valuable resource for graduate students, researchers and educators interested in mathematical tools and techniques for solving various problems arising in science and engineering.
Chapter
1. A fuzzy two-ware-house inventory model of deteriorating items with exponentially demand and backlogged condition.
Chapter
2. A comparative study of non-linear convection in a confined fluid overlying a porous layer.
Chapter
3. Persistence barcoded vehicular traffic videos in a topology of data approach to shape tracking.
Chapter
4. Heat transfer of MHD channel flow of viscoelastic (PTT) fluid.
Chapter
5. Properties of characteristic polynomials of oriented graphs.
Chapter
6. An inventory model on price-dependent-demand and linear deteriorating item with allowable shortages under partial-backlogged condition.
Chapter
7. On the local convergence of a sixth-order iterative scheme in Banach spaces.
Chapter
8. New results on chromatic polynomials.
Chapter
9. Recurrence relations of edge-Zagreb and sum-edge characteristic polynomials of some graphs.
Chapter
10. Effects of radiation on MHD flow with induced magnetic field.
Chapter
11. Various approximate multiplicative inverse lie ?-derivations.
Chapter
12. Analysis and computation of reactive second grade fluid flow with variable viscosity within porous channel.
Chapter
13. Hopf bifurcation and stability analysis of delayed Lotka-Volterra predator-prey model having disease for both existing species.
Chapter
14. An EOQ model without shortages with uncertain cost associated with some fuzzy parameters and interval parameters.
Chapter
15. Free Poisson elements induced by orthogonal projections.
Dr. Susanta Kumar Paikray has held the position of Associate Professor in the Department of Mathematics Veer Surendra Sai University of Technology, Burla, since 2016, having joined the faculty there in 2014, first as Reader (20142016) and then as Associate Professor (2016till date). Also, he has served as a lecturer in the Department of Mathematics, Ravenshaw University Cuttack (20112014). He earned his Ph.D. degree in 2010 at Berhampur University, while he was a full-time member of the teaching faculty at the DRIEMS in Odisha. His current research interests include several areas of pure and applied mathematical sciences like summability theory, Fourier series, approximation theory, functional analysis, statistical convergence, operations research and inventory optimization. He has published 02 books, 10 book chapters, 12 papers in international conference proceedings and more than 60 scientific research articles in peer-reviewed national and international journals of repute, as well as Forewords and Prefaces to many books and journals, and so on.
Dr. Hemen Dutta is a regular faculty member at the Department of Mathematics, Gauhati University, India. He has more than 14 years of teaching and research experiences. His primary research areas are in the field of mathematical analysis covering both abstract and applied aspects. He has over 100 research papers for journals, 16 chapters in books and contributed 12 papers in conference proceedings so far. He has to credit 10 published books, 6 books in press and 3 conference proceedings. He has delivered several invited talks at national and international level events and visited some foreign institutions on invitations. He has organized 5 events for academicians and researchers. He is the recipient of some grants for conference organization, research project and travelling. He has reviewed research papers for journals and databases and associated with editing special issues in reputed journals. He has also authored several general articles for newspaper, popular books, magazines and science portals.
Dr. John N. Mordeson is Professor Emeritus of Mathematics at Creighton University, USA. He received his B.S., M.S. and Ph.D. from Iowa State University. He is a member of Phi Kappa Phi. He is President of the Society for Mathematics of Uncertainty. He has published 15 books and 200 journal articles. He is on the editorial board of numerous journals. He has served as an external examiner of Ph.D. candidates from India, South Africa, Bulgaria and Pakistan. He has refereed for numerous journals and granting agencies. He is particularly interested in applying mathematics of uncertainty to combat the problem of human trafficking.
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