Introduction To Differential And Difference Equations Through Modeling

DOWNLOAD

Download Introduction To Differential And Difference Equations Through Modeling PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Introduction To Differential And Difference Equations Through Modeling book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

Introduction To Differential And Difference Equations Through Modeling

DOWNLOAD
Author : William P. Fox
language : en
Publisher: CRC Press
Release Date : 2025-07-09

Introduction To Differential And Difference Equations Through Modeling written by William P. Fox and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-09 with Mathematics categories.

This book presents an opportunity to learn difference and differential equations through a modeling-first approach. The text is meant as an introduction to those equations and not as a text only for modeling courses. No previous exposure to these equations is expected. Modeling in Introduction to Differential and Difference Equations through Modeling is presented as the vehicle for learning difference and differential equations. Although the topics in difference and differential equations are consistent with those in other textbooks, this approach differs. The presentation starts with a model (or several models) and offers the solution with minor discussions. Then, methods to obtain those solutions are presented and show these same models and others again in more detail. This approach is designed to focus on the use of difference and differential equations to solve real-world problems, and to learn not only these primary topics, but how to apply these through modeling. The authors begin with a review of matrix algebra, then an introduction to modeling. The text progresses to discrete dynamical systems, and then to the standard organization of most differential equation texts, making the alignment with a current syllabus easier. Technology is a significant modeling component. Excel®, Python®, and Maple® are presented as methods to solving the models. This material has been class tested at the US Military Academy at West Point, Marian University, the College of William & Mary, and the Naval Postgraduate School with great success.

Modelling With Differential And Difference Equations

DOWNLOAD
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.

Introduction To Differential And Difference Equations Through Modeling

DOWNLOAD
Author : William P. Fox
language : en
Publisher:
Release Date : 2025

Introduction To Differential And Difference Equations Through Modeling written by William P. Fox and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025 with Mathematics categories.

"This book presents an opportunity to learn difference and differential equations through a modelling-first approach. The text is meant as an introduction to those equations and not as a text only for modelling courses. No previous exposure to these equations is expected. Modeling is presented as the vehicle for learning difference and differential equations. Although the topics in difference and differential equations are consistent with those in other textbooks, this approach differs. The presentation starts with a model (or several models) and presents the solution with minor discussions. Then, methods to obtain those solutions are presented and show these same models and others again in more detail. This approach is designed to focus on the use of difference and differential equations to solve real world problems, and to learn not only these primary topics, but how to apply these through modeling. The authors begin with a review of matrix algebra, then an introduction to modelling. The text progresses to Discrete Dynamical Systems, and then to the standard organization of most DE texts, making the alignment with a current syllabus easier. Technology is a significant modeling component. EXCEL, Python, and MAPLE are presented as methods to solve the models. The material has been class tested at The US Military Academy at West Point, Marion University, and William and Mary, and The Naval Postgraduate School with great success"-- Provided by publisher.

Differential Models

DOWNLOAD
Author : Alexander Solodov
language : en
Publisher: Springer Science & Business Media
Release Date : 2005

Differential Models written by Alexander Solodov 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 2005 with Mathematics categories.

Differential equations are often used in mathematical models for technological processes or devices. However, the design of a differential mathematical model iscrucial anddifficult in engineering. As a hands-on approach to learn how to pose a differential mathematical modelthe authors have selected 9 examples with important practical application and treat them as following:- Problem-setting and physical model formulation- Designing the differential mathematical model- Integration of the differential equations- Visualization of results Each step of the development ofa differential model isenriched by respective Mathcad 11commands, todays necessary linkage of engineering significance and high computing complexity. TOC:Differential Mathematical Models.- Integrable Differential Equations.- Dynamic Model of the System with Heat Engineering.- Stiff Differential Equations.- Heat Transfer near the Critical Point.- The Faulkner- Skan Equation of Boundary Layer.- The Rayleigh Equation: Hydronamic Instability.- Kinematic Waves of Concentration in Ion- Exchange Filters.- Kinematic Shock Waves.- Numerical Modelling of the CPU-board Temperature Field.- Temperature Waves.

Nonstandard Finite Difference Models Of Differential Equations

DOWNLOAD
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.

Modeling And Differential Equations In Biology

DOWNLOAD
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.

Mathematical Modelling In One Dimension

DOWNLOAD
Author : Jacek Banasiak
language : en
Publisher: Cambridge University Press
Release Date : 2013-02-21

Mathematical Modelling In One Dimension written by Jacek Banasiak 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 2013-02-21 with Mathematics categories.

Mathematical Modelling in One Dimension demonstrates the universality of mathematical techniques through a wide variety of applications. Learn how the same mathematical idea governs loan repayments, drug accumulation in tissues or growth of a population, or how the same argument can be used to find the trajectory of a dog pursuing a hare, the trajectory of a self-guided missile or the shape of a satellite dish. The author places equal importance on difference and differential equations, showing how they complement and intertwine in describing natural phenomena.

Differential Equations And Their Applications

DOWNLOAD
Author : M. Braun
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Differential Equations And Their Applications written by M. Braun 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 2012-12-06 with Mathematics categories.

This textbook is a unique blend of the theory of differential equations and their exciting application to "real world" problems. First, and foremost, it is a rigorous study of ordinary differential equations and can be fully un derstood by anyone who has completed one year of calculus. However, in addition to the traditional applications, it also contains many exciting "real life" problems. These applications are completely self contained. First, the problem to be solved is outlined clearly, and one or more differential equa tions are derived as a model for this problem. These equations are then solved, and the results are compared with real world data. The following applications are covered in this text. I. In Section 1.3 we prove that the beautiful painting "Disciples of Emmaus" which was bought by the Rembrandt Society of Belgium for $170,000 was a modem forgery. 2. In Section 1.5 we derive differential equations which govern the population growth of various species, and compare the results predicted by our models with the known values of the populations. 3. In Section 1.6 we derive differential equations which govern the rate at which farmers adopt new innovations. Surprisingly, these same differen tial equations govern the rate at which technological innovations are adopted in such diverse industries as coal, iron and steel, brewing, and railroads.

Differential Equations And Population Dynamics I

DOWNLOAD
Author : Arnaud Ducrot
language : en
Publisher: Springer Nature
Release Date : 2022-06-20

Differential Equations And Population Dynamics I written by Arnaud Ducrot and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-20 with Mathematics categories.

This book presents the basic theoretical concepts of dynamical systems with applications in population dynamics. Existence, uniqueness and stability of solutions, global attractors, bifurcations, center manifold and normal form theories are discussed with cutting-edge applications, including a Holling's predator-prey model with handling and searching predators and projecting the epidemic forward with varying level of public health interventions for COVID-19. As an interdisciplinary text, this book aims at bridging the gap between mathematics, biology and medicine by integrating relevant concepts from these subject areas, making it self-sufficient for the reader. It will be a valuable resource to graduate and advance undergraduate students for interdisciplinary research in the area of mathematics and population dynamics.

Differential Equations

DOWNLOAD
Author : Courtney Brown
language : en
Publisher: SAGE
Release Date : 2007-05-18

Differential Equations written by Courtney Brown and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-18 with Mathematics categories.

'Differential Equations: A Modeling Approach' explains the mathematics and theory of differential equations. Graphical methods of analysis are emphasized over formal proofs, making the text even more accessible for newcomers to the subject matter.