Delay Ordinary and Partial Differential Equations

Delay Ordinary and Partial Differential Equations is a book that discusses the theory and methods of solving ordinary and partial differential equations with constant and variable delay. It covers various analytical and numerical approaches, including exact, approximate, and iterative methods, and applies them to solve practical problems in fields such as population theory, biology, medicine, and economics. The book is intended for a broad audience of scientists and students.

Format: Hardback
Length: 415 pages
Publication date: 28 August 2023
Publisher: Taylor & Francis Ltd

Delayed Ordinary and Partial Differential Equations is a comprehensive and in-depth exploration of linear and nonlinear ordinary and partial differential equations with constant and variable delay. It delves into the qualitative aspects of delay differential equations and presents typical problem statements. The book offers a comprehensive treatment of exact, approximate analytical, and numerical methods for solving these equations, encompassing a range of techniques such as the method of steps, integral transformations, regular expansion in a small parameter, matched asymptotic expansions, iteration-type methods, Adomian decomposition method, collocation method, Galerkin-type projection methods, Euler and Runge-Kutta methods, shooting method, method of lines, finite-difference methods for PDEs, methods of generalized and functional separation of variables, method of functional constraints, method of generating equations, and more.

The theoretical material is accompanied by illustrative examples showcasing the practical application of these methods to obtain desired solutions. Exact solutions are constructed for numerous nonlinear delay reaction-diffusion and wave-type PDEs, dependent on one or more arbitrary functions. Additionally, a review is provided of the most commonly employed mathematical models with delay in population theory, biology, medicine, economics, and other applications.

This book is designed to cater to a wide audience of scientists, university professors, and graduate and postgraduate students pursuing specialized studies in applied and computational mathematics, mathematical physics, mechanics, control theory, biology, medicine, chemical technology, ecology, economics, and other disciplines. Each individual section of the book and examples are well-suited for lecture courses on applied mathematics, mathematical physics, and differential equations.

The extensive coverage and detailed explanations make this book an invaluable resource for scholars and practitioners seeking to advance their understanding and applications of delay differential equations in diverse fields.

Weight: 963g
Dimension: 234 x 156 (mm)
ISBN-13: 9780367486914