Practical MATLAB modeling with Simulink : programming and simulating ordinary and partial differential equations /

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Bibliographic Details
Author / Creator:	Eshkabilov, Sulaymon L., author.
Imprint:	Berkeley, CA : Apress L. P., [2020] ©2020
Description:	1 online resource (xxii, 473 pages) : charts
Language:	English
Subject:	MATLAB. SIMULINK. MATLAB. SIMULINK. Electronic books.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/12604930

Hidden Bibliographic Details
Varying Form of Title:	Programming and simulating ordinary and partial differential equations
ISBN:	9781484257999 1484257995 9781484257982 1484257987 9781484257982 9781484258002 1484258002
Digital file characteristics:	text file PDF
Notes:	Description based upon electronic resource, viewed May 27, 2020. Part III: Applications of Ordinary Differential Equations Contains bibliographical references and index.
Summary:	Employ the essential and hands-on tools and functions of the MATLAB's ordinary differential equations (ODEs) and partial differential equations (PDEs) packages, which are explained and demonstrated via interactive examples and case studies. This book contains dozens of simulations and solved problems via m-files/scripts and Simulink models which help you to learn programming and modeling of more difficult, complex problems that involve the use of ODEs and PDEs. Youll become efficient with many of the built-in tools and functions of MATLAB/Simulink while solving more complex engineering and scientific computing problems that require and use differential equations. Practical MATLAB Modeling with Simulink explains various practical issues of programming and modelling. After reading and using this book, you'll be proficient at using MATLAB and applying the source code from the book's examples as templates for your own projects in data science or engineering. What You Will Learn How to model more complex problems using MATLAB and Simulink Gain the programming and modeling essentials of MATLAB using ODEs and PDEs How to program and use numerical methods to solve 1st and 2nd order ODEs How to program and solve stiff, higher order, coupled and implicit ODEs How to program and use numerical methods to solve 1st and 2nd order linear PDEs How to program and solve stiff, higher order, coupled and implicit PDEs.
Other form:	Print version: Eshkabilov, Sulaymon L. Practical MATLAB Modeling with Simulink : Programming and Simulating Ordinary and Partial Differential Equations Berkeley, CA : Apress L. P.,c2020 9781484257982
Standard no.:	10.1007/978-1-4842-5 10.1007/978-1-4842-5799-9

Table of Contents:

Intro
Table of Contents
About the Author
About the Technical Reviewer
Acknowledgments
Introduction
Part I: Ordinary Differential Equations
Chapter 1: Analytical Solutions for ODEs
Classifying ODEs
Example 1
Example 2
Example 3
Analytical Solutions of ODEs
dsolve()
Example 4
Example 5
Example 6
Example 7
Second-Order ODEs and a System of ODEs
Example 8
Example 9
Example 10
Example 11
Example 12
Example 13
Laplace Transforms
Example 14
laplace/ilaplace
Example 15
Example 16
Example 17
Example 18
Example 19
Example 20
Example 21
References
Chapter 2: Numerical Methods for First-Order ODEs
Euler Method
Example 1
Improved Euler Method
Backward Euler Method
Example 2
Midpoint Rule Method
Example 3
Ralston Method
Runge-Kutta Method
Example 4
Runge-Kutta-Gill Method
Runge-Kutta-Fehlberg Method
Adams-Bashforth Method
Example 5
Milne Method
Example 6
Taylor Series Method
Example 7
Adams-Moulton Method
Example 8
MATLAB's Built-in ODE Solvers
Example 9
The OPTIONS, ODESET, and ODEPLOT Tools of Solvers
Example 10
Example 11
Simulink Modeling
Example 12
SIMSET
References
Chapter 3: Numerical Methods for Second-Order ODEs
Euler Method
Example 1
Example 2
Example 3
Example 4
Example 5
Runge-Kutta Method
Example 6
Example 7
Example 8
Example 9
Example 10
Adams-Moulton Method
Example 11
Example 12
Simulink Modeling
Example 13
Example 14
Example 15
Example 16
Nonzero Starting Initial Conditions
Example 17
ODEx Solvers
Example 18
Example 19
Example 20
Example 21
diff()
Example 22
Chapter 4: Stiff ODEs
Example 1
Example 2
Example 3
Example 4
Jacobian Matrix
Example 5
Example 6
Chapter 5: Higher-Order and Coupled ODEs
Fourth-Order ODE Problem
Robertson Problem
Akzo-Nobel Problem
HIRES Problem
Reference
Chapter 6: Implicit ODEs
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
References
Chapter 7: Comparative Analysis of ODE Solution Methods
Example 1
Drill Exercises
Exercise 1
Exercise 2
Exercise 3
Exercise 4
Exercise 5
Exercise 6
Exercise 7
Exercise 8
Exercise 9
Exercise 10
Exercise 11
Exercise 12
Exercise 13
Part II: Boundary Value Problems in Ordinary Differential Equations
Chapter 8: Boundary Value Problems
Dirichlet Boundary Condition Problem
Example 1
Example 2
Robin Boundary Condition Problem
Example 3
Sturm-Liouville Boundary Value Problem
Example 4
Stiff Boundary Value Problem
Example 5
References
Drill Exercises
Exercise 1
Exercise 2
Exercise 3
Exercise 4
Exercise 5
Exercise 6
Exercise 7
Exercise 8
Exercise 9
Exercise 10
Exercise 11
Exercise 12
Exercise 13

Practical MATLAB modeling with Simulink : programming and simulating ordinary and partial differential equations /

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