New Trends in the Applications of Differential Equations in Sciences: NTADES 2022, Sozopol, Bulgaria, June 14-17

This book summarizes peer-reviewed papers presented at the Ninth International Conference New Trends in the Applications of Differential Equations in Sciences (NTADES) in 2022, covering various applications of differential equations in science and society. The main topics include mathematical physics, mathematical biology, financial mathematics, neuroscience, and fractional analysis. The book aims to promote research and exchange between theoretical and applied mathematicians, focusing on developing new methods and techniques for solving real-life problems.

Format: Hardback
Length: 472 pages
Publication date: 18 March 2023
Publisher: Springer International Publishing AG

The Ninth International Conference New Trends in the Applications of Differential Equations in Sciences (NTADES) was held in Sozopol, Bulgaria, from June 17 to 20, 2022. This conference brought together esteemed scholars from around the world to present their peer-reviewed research on diverse applications of differential equations across various scientific fields. The papers presented at NTADES covered a wide range of topics, including mathematical physics, mathematical biology, financial mathematics, neuroscience, and fractional analysis.

The main objective of the conference was to foster a vibrant exchange of new ideas and research between mathematicians who specialize in differential equations and researchers who apply these mathematical tools to solve real-world problems. The book serves as a valuable resource for both scholars and practitioners, offering a comprehensive overview of the latest developments in this field.

The conference was organized in collaboration with the Society of Industrial and Applied Mathematics (SIAM), a leading international organization dedicated to promoting interdisciplinary collaboration between applied mathematics, science, engineering, finance, and neuroscience. SIAM played a crucial role in facilitating the exchange of knowledge and expertise between participants from different disciplines.

The book is divided into five parts, each focusing on specific applications of differential equations. The first part, "Applications in Mathematical Physics," explores the use of differential equations in classical mechanics, electromagnetism, and quantum mechanics. The second part, "Mathematical Biology," delves into the modeling of biological systems using differential equations, including population dynamics, reaction-diffusion equations, and genetic algorithms. The third part, "Financial Mathematics," focuses on the application of differential equations in finance, including options pricing, risk management, and financial derivatives. The fourth part, "Neuroscience," explores the use of differential equations to model the nervous system, including neural networks, brain dynamics, and cognitive processes. The fifth part, "Fractional Analysis," focuses on the study of fractional differential equations and their applications in physics, chemistry, and engineering.

Each chapter in the book is written by experts in their respective fields, providing a comprehensive and up-to-date overview of the latest research and developments in differential equations. The chapters are well-organized, with clear explanations, examples, and references to further reading. The book also includes an extensive bibliography that provides a valuable resource for researchers seeking additional information on specific topics.

In conclusion, the Ninth International Conference New Trends in the Applications of Differential Equations in Sciences (NTADES) was a remarkable event that brought together scholars from diverse fields to explore the vast applications of differential equations. The conference proceedings published in this book serve as a valuable resource for researchers, students, and practitioners interested in advancing their knowledge and expertise in this field. The collaboration between SIAM and the conference organizers ensures that the latest research and developments in differential equations continue to be disseminated and promoted globally.

Weight: 887g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031214837
Edition number: 1st ed. 2023