Differential equations play a noticeable role in engineering, physics, economics, and other disciplines. They permit us to model changing forms in both mathematical and physical problems. These equations are precisely used when a deterministic relation containing some continuously varying quantities and their rates of change in space and/or time is recognized or postulated.
This book is intended to provide a straightforward introduction to the concept of partial differential equations. It provides a diversity of numerical examples framed to nurture the intellectual level of scholars. It includes enough examples to provide students with a clear concept and also offers short questions for comprehension. Construction of real-life problems is considered in the last chapter along with applications.
Research scholars and students working in the fields of engineering, physics, and different branches of mathematics need to learn the concepts of partial differential equations to solve their problems. This book will serve their needs instead of having to use more complex books that contain more concepts than needed.
Table of Contents
1. Introduction of Partial Differential Equations. 2. First-Order Partial Differential Equations. 3. Second- and Higher-Order Linear Partial Differential Equations. 4. Applications of Partial Differential Equations.
Nita H. Shah, PhD, is a post-doctoral visiting research fellow at the University of New Brunswick, Canada. Prof. Shah's research interests include inventory modeling in supply chain, robotic modeling, mathematical modeling of infectious diseases, image processing, and dynamical systems and their applications. She is vice-president of Operational Research Society of India. She is council member of Indian Mathematical Society.
Mrudul Y. Jani, PhD, is an associate professor in the Department of Applied Sciences and Humanities, PIET, Faculty of Engineering and Technology at Parul University, Vadodara, Gujarat, India. His research interests are in the fields of inventory management under deterioration and different demand structures.