## Book Description

MATLAB is a high-level language and environment for numerical computation, visualization, and programming. Using MATLAB, you can analyze data, develop algorithms, and create models and applications. The language, tools, and built-in math functions enable you to explore multiple approaches and reach a solution faster than with spreadsheets or traditional programming languages, such as C/C++ or Java.

MATLAB Differential Equations introduces you to the MATLAB language with practical hands-on instructions and results, allowing you to quickly achieve your goals. In addition to giving an introduction to the MATLAB environment and MATLAB programming, this book provides all the material needed to work on differential equations using MATLAB. It includes techniques for solving ordinary and partial differential equations of various kinds, and systems of such equations, either symbolically or using numerical methods (Euler’s method, Heun’s method, the Taylor series method, the Runge–Kutta method,…). It also describes how to implement mathematical tools such as the Laplace transform, orthogonal polynomials, and special functions (Airy and Bessel functions), and find solutions of finite difference equations.

1. Cover
2. Title
4. Contents at a Glance
5. Contents
7. Coming Soon
8. Chapter 1: Introducing MATLAB and the MATLAB Working Environment
1. Introduction
2. The MATLAB working environment
3. Help in MATLAB
4. Numerical Computation with MATLAB
5. Symbolic Calculations with MATLAB
6. Graphics with MATLAB
7. General Notation
8. Help with Commands
9. MATLAB and Programming
10. Commands to Escape and Exit to the MS-DOS Environment
9. Chapter 2: First Order Differential Equations. Exact Equations, Separation of Variables, Homogeneous and Linear Equations
10. Chapter 3: Higher Order Differential Equations. The Laplace Transform and Special Types of Equations
1. Ordinary High-Order Equations
2. Linear Higher-Order Equations. Homogeneous Equations with Constant Coefficients
3. Non-Homogeneous Equations with Constant Coefficients. Variation of Parameters
4. Non-Homogeneous Equations with Variable Coefficients. Cauchy–Euler Equations
5. The Laplace Transform
6. Orthogonal Polynomials
7. Bessel and Airy Functions
11. Chapter 4: Differential Equations Via Approximation Methods
12. Chapter 5: Systems of Differential Equations and Finite Difference Equations
13. Chapter 6: Numerical Calclus with MATLAB. Applications to Differential Equations
1. MATLAB and Programming
2. Text Editor
3. Scripts
4. Functions and M-Files. Function, Eval and Feval
5. Local and Global Variables
6. Data Types
7. Flow Control: FOR Loops, WHILE and IF ELSEIF
8. Subfunctions
9. Ordinary Differential Equations Using Numerical Analysis
14. Chapter 7: Ordinary and Partial Differential Equations with Initial and Boundary Values
15. Chapter 8: Symbolic Differential and Integral Calculus

## Product Information

• Title: MATLAB Differential Equations
• Author(s): César Pérez López
• Release date: September 2014
• Publisher(s): Apress
• ISBN: 9781484203101