دانلود کتاب نظریه ریاضی و شبیه‌سازی مسائل علمی

We are pleased to present the proceedings of the 6th International Conference on Frontiers in Industrial and Applied Mathematics (FIAM-2023), held at the Department of General Science, Birla Institute of Technology and Science, Pilani-Dubai Campus, UAE, from 21 to 22 December 2023. The FIAM-2023 is the 6th sequel of the FIAM conference series, which was started in 2018 by a group of faculty members working in different institutes in India. The focus of this conference is on the applications and applied research in various fields of mathematics. The scientific and technical program of the two-day international conference has invited talks and contributed oral presentations in the areas of computational and theoretical fluid dynamics, server queues, Lie group theory, fixed point theory, bio-mathematics, fuzzy, nonlinear dynamics, fractional calculus and approximation theory. These areas have numerous applications in the emerging technological and knowledge-based industries. A sound understanding of the same shall lead to the emergence of new ideas that can help to build trained professionals who can serve in the knowledge-based industries. The papers presented at FIAM-2023 reflect the diversity and depth of current research in computational and applied mathematics. The selected papers after peer review are published in this proceedings. Most of the papers deal with mathematical theory and its applications to the various disciplines of engineering and sciences. Among the many high-quality papers, some key contributions stood out for their innovative approach and practical impact. For example, the study on chaotic Hamiltonian systems, by Alexandre R. Nieto, Jesus M. Seoane and Miguel A. F. Sanjuan, explored new methodologies in nonlinear dynamics. Another significant paper, authored by Deepika Parmar, B. V. Rathish Kumar, S. V. S. S. N. V. G. Krishna Murthy and Sumant Kumar, focused on the time-fractional derivative models applied to nanofluid dynamics in porous cavities. Additionally, a paper by C. Deniz Canal and A. C. Benim analyzed co-firing in swirl burners, providing vital insights into optimizing industrial combustion processes. In an another standout paper, Lucas Wangwe and Santosh Kumar explored a common fixed-point theorem for multivalued mappings in weak-partial b-metric space with a specific application that enhances the understanding of fixed-point theory and its mathematical implications. A paper by Vrushali Khaladkar and Manish Kumar introduced a triple secure encryption scheme for threechannel images based on the Hankel transform, geometric transforms and hyperchaotic maps, contributing significantly to secure data transmission. Additionally, noteworthy contributions include the work of Vora Hardagna Vatsal, Brajesh Kumar Jha and Tajinder Pal Singh, who presented a significant study on the effects of ER and Orai flux on fractional calcium diffusion in neuronal disorders, offering a mathematical perspective on complex biological processes. Sanjalee Maheshwari and Rajesh Sharma have contributed a numerical study on the thermo-convective instability of Au-Fe3O4 hybrid bi-viscous Bingham nanofluid. These papers, among others, reflect the breadth of research presented at the conference, showcasing the versatility of applied mathematics in addressing diverse challenges across industries. This book illustrates the mathematical simulation of scientific problems and cutting-edge development in multiple branches of mathematics, including various computational and modeling techniques with case studies and concrete examples. It can be used also as a reference book which is especially suitable for graduate students and scholars who are interested in the real applications of mathematics, and professionals working in the interdisciplinary domains of mathematics and engineering. The target readers for this book include academicians, researchers, graduate students and industry experts interested in the latest advancements in mathematical techniques and their industrial applications. We would like to take this opportunity to offer our thanks to all the contributors for their excellent work, and to reviewers who took time and effort to provide their valuable comments in time and help to improve the quality of the papers. Our high appreciation is to all invited speakers and all participants for their enthusiastic participation in this conference. We also thank Birla Institute of Technology and Science, Pilani-Dubai Campus, for hosting the event and providing a stimulating environment for fruitful discussions and collaborations. Our sincere and special thanks to the Springer Nature team for all the support offered during the journey to publish this book.