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

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 pr...

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Detalles Bibliográficos
Clasificación:	Libro Electrónico
Autor principal:	Eshkabilov, Sulaymon L. (Autor)
Formato:	Electrónico eBook
Idioma:	Inglés
Publicado:	Berkeley, CA : Apress L.P., [2020]
Temas:	MATLAB. SIMULINK. MATLAB SIMULINK Mathematical theory of computation. Maths for computer scientists. Differential calculus & equations. Programming & scripting languages: general. Mathematics > Logic. Computers > Programming > Algorithms. Computers > Data Processing. Mathematics > Differential Equations. Computers > Programming Languages > General.
Acceso en línea:	Texto completo

Tabla de Contenidos:

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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