MATLAB Differential Equations

  • 1h 24m
  • César Pérez López
  • Apress
  • 2014

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.

What you’ll learn

  • How to use the MATLAB environment
  • How to program the MATLAB language from first principles
  • How to solve ordinary and partial differential equations symbolically
  • How to solve ordinary and partial differential equations numerically, and graph their solutions
  • How to solve finite difference equations and general recurrence equations
  • How MATLAB can be used to investigate convergence of sequences and series and analytical properties of functions, with working examples

About the Author

César Pérez López is a Professor at the Department of Statistics and Operations Research at the University of Madrid. César 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.

In this Book

  • Introducing MATLAB and the MATLAB Working Environment
  • First Order Differential Equations. Exact Equations, Separation of Variables, Homogeneous and Linear Equations
  • Higher Order Differential Equations. The Laplace Transform and Special Types of Equations
  • Differential Equations Via Approximation Methods
  • Systems of Differential Equations and Finite Difference Equations
  • Numerical Calclus with MATLAB. Applications to Differential Equations
  • Ordinary and Partial Differential Equations with Initial and Boundary Values
  • Symbolic Differential and Integral Calculus

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