MATLAB Differential Equations

ISBN-13: 9781484203118 / Angielski / Miękka / 2014 / 188 str.

Cesar Lopez;Cesar Perez Lopez

Opis

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.

Spis treści

1. Introducing MATLAB and Differential Equations

2. First Order Differential Equations

3. Differential Equations of Superior Order.

4. Differential Equations Through Approximate Methods

5. Differential Equations Systems and Equations in Finite Differences

6. Numerical Calculus with MATLAB

7. Differential Equations with Initial Values et al.

8. Symbolic Differential and Integral Calculus

O autorze

César Perez Lopez is a Professor at the Department of Statistics and Operations Research at the University of Madrid. César Perez Lopez is also a Mathematician and Economist at the National Statistics Institute (INE) in Madrid, a body which belongs to the Superior Systems and Information Technology Department of the Spanish Government. César also currently works at the Institute for Fiscal Studies in Madrid.