Delay Ordinary and Partial Differential Equationsis devoted to linear and nonlinear ordinary and partial differential equations with constant and variable delay. It considers qualitative features of delay differential equations and formulates typical problem statements. Exact, approximate analytical...

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Bibliographic Details

Main Authors:	Poljanin, Andrej D. 1951- (Author), Sorokin, Vsevolod G. (Author), Zhurov, Alexei I. (Author)
Format:	Electronic eBook
Language:	English
Published:	Boca Raton ; London ; New York CRC Press 2024
Edition:	First edition
Series:	Advances in applied mathematics
Subjects:	Delay differential equations Differential equations, Partial Équations différentielles à retard Équations aux dérivées partielles MATHEMATICS / Differential Equations
Online Access:	DE-91
Summary:	Delay Ordinary and Partial Differential Equationsis devoted to linear and nonlinear ordinary and partial differential equations with constant and variable delay. It considers qualitative features of delay differential equations and formulates typical problem statements. Exact, approximate analytical and numerical methods for solving such equations are described, including the method of steps, methods of integral transformations, method of regular expansion in a small parameter, method of 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 presentation of the theoretical material is accompanied by examples of the practical application of methods to obtain the desired solutions. Exact solutions are constructed for many nonlinear delay reaction-diffusion and wave-type PDEs that depend on one or more arbitrary functions. A review is given of the most common mathematical models with delay used in population theory, biology, medicine, economics, and other applications. The book contains much new material previously unpublished in monographs. It is intended for a broad audience of scientists, university professors, and graduate and postgraduate students specializing in applied and computational mathematics, mathematical physics, mechanics, control theory, biology, medicine, chemical technology, ecology, economics, and other disciplines. Individual sections of the book and examples are suitable for lecture courses on applied mathematics, mathematical physics, and differential equations for delivering special courses and for practical training
Item Description:	Includes bibliographical references and index
Physical Description:	1 Online-Ressource (xviii, 415 Seiten) Diagramme
ISBN:	9781003042310 1003042317 1000925919 9781000925890 1000925897 9781000925913