Modelling With Differential And Difference Equations

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Modelling With Differential And Difference Equations

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Author : Glenn Fulford
language : en
Publisher: Cambridge University Press
Release Date : 1997-06-12

Modelling With Differential And Difference Equations written by Glenn Fulford and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-06-12 with Mathematics categories.

Any student wishing to solve problems via mathematical modelling will find that this book provides an excellent introduction to the subject.

Nonstandard Finite Difference Models Of Differential Equations

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Author : Ronald E. Mickens
language : en
Publisher: World Scientific
Release Date : 1994

Nonstandard Finite Difference Models Of Differential Equations written by Ronald E. Mickens and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.

This book provides a clear summary of the work of the author on the construction of nonstandard finite difference schemes for the numerical integration of differential equations. The major thrust of the book is to show that discrete models of differential equations exist such that the elementary types of numerical instabilities do not occur. A consequence of this result is that in general bigger step-sizes can often be used in actual calculations and/or finite difference schemes can be constructed that are conditionally stable in many instances whereas in using standard techniques no such schemes exist. The theoretical basis of this work is centered on the concepts of ?exact? and ?best? finite difference schemes. In addition, a set of rules is given for the discrete modeling of derivatives and nonlinear expressions that occur in differential equations. These rules often lead to a unique nonstandard finite difference model for a given differential equation.

Differential Difference Equations

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Author : Ioannis Dassios
language : en
Publisher: Mdpi AG
Release Date : 2021-11-30

Differential Difference Equations written by Ioannis Dassios and has been published by Mdpi AG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-30 with Mathematics categories.

The study of oscillatory phenomena is an important part of the theory of differential equations. Oscillations naturally occur in virtually every area of applied science including, e.g., mechanics, electrical, radio engineering, and vibrotechnics. This Special Issue includes 19 high-quality papers with original research results in theoretical research, and recent progress in the study of applied problems in science and technology. This Special Issue brought together mathematicians with physicists, engineers, as well as other scientists. Topics covered in this issue: Oscillation theory; Differential/difference equations; Partial differential equations; Dynamical systems; Fractional calculus; Delays; Mathematical modeling and oscillations.

Modelling With Ordinary Differential Equations

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Author : T.P. Dreyer
language : en
Publisher: Routledge
Release Date : 2017-09-06

Modelling With Ordinary Differential Equations written by T.P. Dreyer and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-06 with Mathematics categories.

Modelling with Ordinary Differential Equations integrates standard material from an elementary course on ordinary differential equations with the skills of mathematical modeling in a number of diverse real-world situations. Each situation highlights a different aspect of the theory or modeling. Carefully selected exercises and projects present excellent opportunities for tutorial sessions and self-study.This text/reference addresses common types of first order ordinary differential equations and the basic theory of linear second order equations with constant coefficients. It also explores the elementary theory of systems of differential equations, Laplace transforms, and numerical solutions. Theorems on the existence and uniqueness of solutions are a central feature. Topics such as curve fitting, time-delay equations, and phase plane diagrams are introduced. The book includes algorithms for computer programs as an integral part of the answer-finding process. Professionals and students in the social and biological sciences, as well as those in physics and mathematics will find this text/reference indispensable for self-study.

Difference And Differential Equations With Applications In Queueing Theory

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Author : Aliakbar Montazer Haghighi
language : en
Publisher: John Wiley & Sons
Release Date : 2013-07-10

Difference And Differential Equations With Applications In Queueing Theory written by Aliakbar Montazer Haghighi and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-10 with Technology & Engineering categories.

A Useful Guide to the Interrelated Areas of Differential Equations, Difference Equations, and Queueing Models Difference and Differential Equations with Applications in Queueing Theory presents the unique connections between the methods and applications of differential equations, difference equations, and Markovian queues. Featuring a comprehensive collection of topics that are used in stochastic processes, particularly in queueing theory, the book thoroughly discusses the relationship to systems of linear differential difference equations. The book demonstrates the applicability that queueing theory has in a variety of fields including telecommunications, traffic engineering, computing, and the design of factories, shops, offices, and hospitals. Along with the needed prerequisite fundamentals in probability, statistics, and Laplace transform, Difference and Differential Equations with Applications in Queueing Theory provides: A discussion on splitting, delayed-service, and delayed feedback for single-server, multiple-server, parallel, and series queue models Applications in queue models whose solutions require differential difference equations and generating function methods Exercises at the end of each chapter along with select answers The book is an excellent resource for researchers and practitioners in applied mathematics, operations research, engineering, and industrial engineering, as well as a useful text for upper-undergraduate and graduate-level courses in applied mathematics, differential and difference equations, queueing theory, probability, and stochastic processes.

Modelling With Differential And Difference Equations

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Author : P. Forrester
language : en
Publisher:
Release Date : 1996

Modelling With Differential And Difference Equations written by P. Forrester and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.

Modeling And Differential Equations In Biology

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Author : T. A. Burton
language : en
Publisher: CRC Press
Release Date : 1980-09-01

Modeling And Differential Equations In Biology written by T. A. Burton and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-09-01 with Mathematics categories.

Persistence in lotka-volterra models of food chains and competition; Mathematical models of humoral immune response; Mathematical models of dose and cell cycle effects in multifraction radiotherapy; Theorical and experimental investigations of microbial competition in continuous culture; A liapunov functional for a class of reaction-diffusion systems; Stochastic prey-predator relationships; Coexistence in predator-prey systems; Stability of some multispecies population models; Population dynamics in patchy environments; Limit cycles in a model of b-cell simulation; Optimal age-specific harvesting policy for a cintinuous time-population model; Models involving differential and integral equations appropriate for describing a temperature dependent predator-prey mite ecosystem on apples.

Applications Of Lie Groups To Difference Equations

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Author : Vladimir Dorodnitsyn
language : en
Publisher: CRC Press
Release Date : 2010-12-01

Applications Of Lie Groups To Difference Equations written by Vladimir Dorodnitsyn and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-01 with Mathematics categories.

Intended for researchers, numerical analysts, and graduate students in various fields of applied mathematics, physics, mechanics, and engineering sciences, Applications of Lie Groups to Difference Equations is the first book to provide a systematic construction of invariant difference schemes for nonlinear differential equations. A guide to methods

Differential And Difference Equations With Applications

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Author : Sandra Pinelas
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-09-21

Differential And Difference Equations With Applications written by Sandra Pinelas and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-21 with Mathematics categories.

The volume contains carefully selected papers presented at the International Conference on Differential & Difference Equations and Applications held in Ponta Delgada – Azores, from July 4-8, 2011 in honor of Professor Ravi P. Agarwal. The objective of the gathering was to bring together researchers in the fields of differential & difference equations and to promote the exchange of ideas and research. The papers cover all areas of differential and difference equations with a special emphasis on applications.