Formal And Analytic Solutions Of Differential Equations

The book provides an overview of the state of research in ordinary and partial differential equations in the complex domain, including summability and asymptotic study, q-difference and differential-difference equations, and offers valuable insights for researchers and students.

Format: Hardback
Length: 400 pages
Publication date: 03 April 2022
Publisher: World Scientific Europe Ltd

The book offers a comprehensive overview of the current state of research in ordinary and partial differential equations in the complex domain. It delves into various topics, including summability and asymptotic study of both ordinary and partial differential equations, as well as q-difference and differential-difference equations. This comprehensive resource is designed to appeal to researchers and students seeking to enhance their understanding of these fields.

Featuring the latest results and cutting-edge research developments, Formal and Analytic Solutions of Differential Equations makes a significant contribution to methods, techniques, diverse mathematical tools, and study calculations. The book is authored by experts in their respective fields, ensuring that readers receive authoritative and up-to-date information.

The book is organized into five chapters, each covering a specific aspect of differential equations. The first chapter provides an introduction to the subject, discussing the basic concepts, theories, and applications of differential equations. The subsequent chapters delve into more advanced topics, such as the solution of differential equations, the theory of partial differential equations, and the study of boundary value problems.

Throughout the book, numerous examples and exercises are provided to illustrate the theoretical concepts and help readers apply them to real-world situations. These examples range from simple to complex, and they cover a wide range of applications, including physics, engineering, mathematics, and computer science. Each example is carefully explained, and step-by-step solutions are provided to facilitate understanding and mastery of the material.

In addition to its theoretical content, the book also emphasizes the importance of computational techniques in solving differential equations. It discusses various numerical methods, such as finite difference, finite element, and Monte Carlo methods, and their applications to different types of differential equations. The book provides detailed instructions on how to implement these methods, and it includes examples of code that can be used to perform calculations.

Formal and Analytic Solutions of Differential Equations is an essential resource for researchers, students, and practitioners in the fields of mathematics, physics, engineering, and computer science. It offers a comprehensive and up-to-date treatment of differential equations, and it provides valuable insights into the latest research developments and techniques. Whether you are a beginner or an experienced researcher, this book will help you deepen your understanding of differential equations and advance your research in these fields.

ISBN-13: 9781800611351