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...
| Autor principal: | |
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| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Berkeley, CA :
Apress
2014.
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| Edición: | 1st ed. 2014. |
| Colección: | MATLAB Solutions Series
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| Materias: | |
| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009629451406719 |
Tabla de Contenidos:
- ""Contents at a Glance""; ""Contents""; ""About the Author""; ""Chapter 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""; ""The 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""""Chapter 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""; ""Chapter 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""; ""The 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""; ""Chapter 4: Differential Equations Via Approximation Methods""
- ""Higher Order Equations and Approximation Methods""""The Taylor Series Method""; ""The Runge�Kutta Method""; ""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""; ""Finite Difference Equations""; ""Partial Differential Equations""; ""Chapter 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""; ""The FOR Loop""; ""The 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""; ""The Taylor Series Method""; ""Chapter 7: Ordinary and Partial Differential Equations with Initial and Boundary Values""; ""Numerical Solutions of Differential Equations""
- ""Ordinary Differential Equations with Initial Values""
