Contents
Chapter 1: Introducing MATLAB and the MATLAB Working Environment
Developing Algorithms and Applications
Publication of Results and Distribution of Applications
The MATLAB working environment
Numerical Computation with MATLAB
Symbolic Calculations with MATLAB
Commands to Escape and Exit to the MS-DOS Environment
First Order Differential Equations
Homogeneous Differential Equations
Chapter 3: Higher Order Differential Equations. The Laplace Transform and Special Types of Equations
Linear Higher-Order Equations. Homogeneous Equations with Constant Coefficients
Non-Homogeneous Equations with Constant Coefficients. Variation of Parameters
Non-Homogeneous Equations with Variable Coefficients. Cauchy–Euler Equations
Chebychev Polynomials of the First and Second Kind
Associated Legendre Polynomials
Generalized Laguerre Polynomials
Chapter 4: Differential Equations Via Approximation Methods
Higher Order Equations and Approximation Methods
Chapter 5: Systems of Differential Equations and Finite Difference Equations
Systems of Linear Homogeneous Equations with Constant Coefficients
Systems of Linear Non-Homogeneous Equations with Constant Coefficients
Partial Differential Equations
Chapter 6: Numerical Calclus with MATLAB. Applications to Differential Equations
Functions and M-Files. Function, Eval and Feval
Flow Control: FOR Loops, WHILE and IF ELSEIF
Ordinary Differential Equations Using Numerical Analysis
Chapter 7: Ordinary and Partial Differential Equations with Initial and Boundary Values
Numerical Solutions of Differential Equations
Ordinary Differential Equations with Initial Values
Ordinary Differential Equations with Boundary Values
Partial Differential Equations
Chapter 8: Symbolic Differential and Integral Calculus
Symbolic Computation with MATLAB. Symbolic Variables
Symbolic Functions. Substitution and Functional Operations
Mathematical Analysis Functions. Limits, Continuity, and Series