Last edited by Tutaxe
Wednesday, July 29, 2020 | History

4 edition of Differential Equations and Mathematical Modelling found in the catalog.

Differential Equations and Mathematical Modelling

by A. M. Blokhin

  • 3 Want to read
  • 6 Currently reading

Published by Nova Science Publishers .
Written in English

    Subjects:
  • Mathematics,
  • Differential Equations,
  • Science/Mathematics

  • The Physical Object
    FormatHardcover
    Number of Pages200
    ID Numbers
    Open LibraryOL12368280M
    ISBN 101590330854
    ISBN 109781590330852
    OCLC/WorldCa48383491

    A good introductory book in mathematical modelling is A.B. Tayler book (Oxford University Press) to mathematical modeling via differential equations. Question. a course book to cover. Mathematical moddeling and simulation by Velten is a nice book for begineers in modelling Deleted profile Totally agree with Roger Gay: Statistics first, Models afterwards.

    by mathematical models, and such models may soon become requisites for describing the behaviour of cellular networks. What this book aims to achieve Mathematical modelling is becoming an increasingly valuable tool for molecular cell biology. Con-sequently, it is important for life scientists to have a background in the relevant mathematical tech-File Size: 5MB. The book begins with linear algebra, including a number of physical applications, and goes on to discuss first-order differential equations, linear systems of differential equations, higher order differential equations, Laplace transforms, nonlinear systems of differential equations, and numerical methods used in solving differential equations.

    This elementary text-book on Ordinary Differential Equations, is an attempt to present as much of the subject as is necessary for the beginner in Differential Equations, or, perhaps, for the student of Technology who will not make a specialty of pure Mathematics.   Brief Summary of Book: Methods of Mathematical Modelling: Continuous Systems and Differential Equations by Thomas Witelski. Here is a quick description and cover image of book Methods of Mathematical Modelling: Continuous Systems and Differential Equations written by Thomas Witelski which was published in You can read this before.


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Differential Equations and Mathematical Modelling by A. M. Blokhin Download PDF EPUB FB2

Applied mathematicians, engineers, and scientists will appreciate this book." G.J.F. Junevicus, Choice "If you are looking for a textbook for an introdutory course on mathematical modeling, with an emphasis on differential and difference equations and basic calculus as the only prerequisite, then give this book serious by: This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems.

It describes methods for obtaining solutions of challenging differential equations stemming from problems in areas such as chemical reactions, population dynamics, mechanical systems, and fluid mechanics. Mathematical Modelling with Case Studies: A Differential Equations Approach using Maple and MATLAB, Second Edition (Textbooks in Mathematics Book 25) - Kindle edition by Barnes, B., Fulford, G.R.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Mathematical Modelling /5(5).

Get this from a library. Modelling with differential equations. [David N Burghes; M S Borrie] -- Motivated by the authors' combined ability and experience, this book is about the concepts of mathematical modelling with the use of differential equations, as a powerful technique of mathematical.

used textbook “Elementary differential equations and boundary value problems” by Boyce & DiPrima (John Wiley & Sons, Inc., Seventh Edition, c ). Many of the examples presented in these notes may be found in this book.

The material of Chapter 7 is adapted from the textbook “Nonlinear dynamics and chaos” by Steven. This book features original research articles on the topic of mathematical modelling and fractional differential equations.

The contributions, written by leading researchers in the field, consist of chapters on classical and modern dynamical systems modelled by fractional differential equations in physics, engineering, signal processing, fluid mechanics, and Cited by: 3.

differential equations. We will also discuss methods for solving certain basic types of differential equations, and we will give some applications of our work. TERMINOLOGY Table Recall from Section that a differential equation is an equation involving one or more dy dx = 3y d2y dx2 dy dx – 6 + 8y = 0 d3y dt3 dy dt – t + (t2 – 1 File Size: KB.

Book Description. This book features original research articles on the topic of mathematical modelling and fractional differential equations.

The contributions, written by leading researchers in the field, consist of chapters on classical and modern dynamical systems modelled by fractional differential equations in physics, engineering, signal processing, fluid mechanics, and.

An important resource that provides an overview of mathematical modelling. Mathematical Modelling offers a comprehensive guide to both analytical and computational aspects of mathematical modelling that encompasses a wide range of subjects. The authors provide an overview of the basic concepts of mathematical modelling and review the relevant topics from.

Analytic simulation methods are also explored, and compared to the Monte Carlo method. A section covers particle tracking methods, for solving partial differential equations via Monte Carlo simulation of the underlying stochastic process.

The final section of the book introduces fractional calculus in the context of anomalous diffusion. This book deals with the numerical solution of differential equations, a very important branch of mathematics.

Our aim is to give a practical and theoretical account of how to solve a large variety of differential equations, comprising ordinary differential equations, initial value problems and boundary value problems, differential algebraic.

ISBN: OCLC Number: Description: pages: illustrations ; 24 cm: Contents: On a Certain Class of Nonlinear Forward Backward Parabolic Equations / R. Akhmerov --On Solvability of Mixed Problem for Hyperbolic Equation in a Quadrant / V.

Dobrushkin and T. Jum --Ecosystem Stability: or-Prey System / L. Each Chapter Of The Book Deals With Mathematical Modelling Through One Or More Specified Techniques. Thus There Are Chapters On Mathematical Modelling Through Algebra, Geometry, Trigonometry And Calculus, Through Ordinary Differential Equations Of First And Second Order, Through Systems Of Differential Equations, Through Difference Equations, Through Partial 5/5(4).

Book Description. Modelling with Ordinary Differential Equations: A Comprehensive Approach aims to provide a broad and self-contained introduction to the mathematical tools necessary to investigate and apply ODE models.

The book starts by establishing the existence of solutions in various settings and analysing their stability properties.

16 Chapter 2 / Mathematical Modeling of Control Systems 1. The transfer function of a system is a mathematical model in that it is an opera-tional method of expressing the differential equation that relates the output vari-able to the input variable.

The transfer function is a property of a system itself,independent of the magnitude. This book is aimed at students who encounter mathematical models in other disciplines.

It assumes some knowledge of calculus, and explains the tools and concepts for analysing models involving sets of either algebraic or 1st order differential equations/5(42). Modelling tasks rarely involve well-defined categories, and they often require multidisciplinary input from mathematics, physics, computer sciences, or engineering.

In keeping with this spirit of modelling, the book includes a wealth of cross-references between the chapters and frequently points to the real-world context.

A Practical Course in Differential Equations and Mathematical Modelling is a unique blend of the traditional methods of ordinary and partial differential equations with Lie group analysis enriched by the author's own theoretical developments.5/5(1). A mathematical model is a description of a system using mathematical concepts and process of developing a mathematical model is termed mathematical atical models are used in the natural sciences (such as physics, biology, earth science, chemistry) and engineering disciplines (such as computer science, electrical.

Mathematical Modeling I – preliminary is designed for undergraduate students. Two other followup books, Mathematical Modeling II – advanced and Mathematical Modeling III – case studies in biology, will be published.

II and III will be designed for /5(30). Equations of motion: second order equations 51 A waste disposal problem 52 Motion in a changing gravita-tional fleld 53 Equations coming from geometrical modelling 54 Satellite dishes 54 The pursuit curve 56 Modelling interacting quantities { sys-tems of difierential equations 59 Two compartment File Size: 1MB.4 Chapter 1 This equation is more di–cult to solve.

We shall discuss general methods of solving flrst order difierence equations in Section The modelling process in these two examples was very simple and involved.Each Chapter Of The Book Deals With Mathematical Modelling Through One Or More Specified Techniques.

Thus There Are Chapters On Mathematical Modelling Through Algebra, Geometry, Trigonometry And Calculus, Through Ordinary Differential Equations Of First And Second Order, Through Systems Of Differential Equations, Through Difference Equations, Through Partial .