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MATLAB differential equations /
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berkeley, CA :
Apress,
2014.
|
| Colección: | MATLAB solutions series.
|
| Temas: | |
| Acceso en línea: | Texto completo (Requiere registro previo con correo institucional) |
Tabla de Contenidos:
- Machine generated contents note: ch. 1 Introducing MATLAB and the MATLAB Working Environment
- Introduction
- Developing Algorithms and Applications
- Data Access and Analysis
- Data Visualization
- Numerical Calculation
- Publication of Results and Distribution of Applications
- MATLAB working environment
- Help in MATLAB
- Numerical Computation with MATLAB
- Symbolic Calculations with MATLAB
- Graphics with MATLAB
- General Notation
- Help with Commands
- MATLAB and Programming
- Commands to Escape and Exit to the MS-DOS Environment
- ch. 2 First Order Differential Equations. Exact Equations, Separation of Variables, Homogeneous and Linear Equations
- First Order Differential Equations
- Separation of Variables
- Homogeneous Differential Equations
- Exact Differential Equations
- Linear Differential Equations
- ch. 3 Higher Order Differential Equations. The Laplace Transform and Special Types of Equations
- Ordinary High-Order 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
- Laplace Transform
- Orthogonal Polynomials
- Chebychev Polynomials of the First and Second Kind
- Legendre Polynomials
- Associated Legendre Polynomials
- Hermite Polynomials
- Generalized Laguerre Polynomials
- Laguerre Polynomials
- Jacobi Polynomials
- Gegenbauer Polynomials
- Bessel and Airy Functions
- ch. 4 Differential Equations Via Approximation Methods
- Higher Order Equations and Approximation Methods
- Taylor Series Method
- Runge
- Kutta Method
- ch. 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
- Finite Difference Equations
- Partial Differential Equations
- ch. 6 Numerical Calclus with MATLAB. Applications to Differential Equations
- MATLAB and Programming
- Text Editor
- Scripts
- Functions and M-Files. Function, Eval and Feval
- Local and Global Variables
- Data Types
- Flow Control: FOR Loops, WHILE and IF ELSEIF
- FOR Loop
- WHILE Loop
- IF ELSEIF ELSE END Loops
- Switch and Case
- Continue
- Break
- Try ... Catch
- Return
- Subfunctions
- Ordinary Differential Equations Using Numerical Analysis
- Euler's Method
- Heun's Method
- Taylor Series Method
- ch. 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
- ch. 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
- Derivatives, Integrals and Differential Equations.