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MATLAB Differential Equations 🔍
César Pérez López (auth.) Apress : Imprint: Apress, MATLAB Solutions Series, 1, 2014
English [en] · PDF · 8.3MB · 2014 · 📘 Book (non-fiction) · 🚀/lgli/lgrs/nexusstc/scihub/zlib · Save
description
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;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.
Alternative filename
lgrsnf/G:\1\springer_new\bok%3A978-1-4842-0310-1.pdf
Alternative filename
nexusstc/MATLAB Differential Equations/6b6b08031d54d65d46a6beedb42bcd89.pdf
Alternative filename
scihub/10.1007/978-1-4842-0310-1.pdf
Alternative author
Lopez, Cesar
Alternative author
Cesar Lopez
Alternative publisher
Apress, Incorporated
Alternative publisher
Apress L. P.
Alternative edition
EBL-Schweitzer, Online-ausg, Berkeley, CA, 2014
Alternative edition
MATLAB solutions series, Berkeley, CA, 2014
Alternative edition
MATLAB solutions series, New York, 2014
Alternative edition
United States, United States of America
Alternative edition
Springer Nature, Berkeley, CA, 2014
Alternative edition
1st ed. 2014, Berkeley, CA, 2014
Alternative edition
1st ed., PS, 2014
Alternative edition
Sep 11, 2014
metadata comments
sm29116568
metadata comments
{"edition":"1","isbns":["1484203100","1484203119","9781484203101","9781484203118"],"last_page":188,"publisher":"Apress","series":"MATLAB Solutions Series"}
Alternative description
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.
Erscheinungsdatum: 11.09.2014
Alternative description
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. César Pérez López.
Alternative description
Front Matter....Pages i-xi
Introducing MATLAB and the MATLAB Working Environment....Pages 1-31
First Order Differential Equations. Exact Equations, Separation of Variables, Homogeneous and Linear Equations....Pages 33-44
Higher Order Differential Equations. The Laplace Transform and Special Types of Equations....Pages 45-59
Differential Equations Via Approximation Methods....Pages 61-65
Systems of Differential Equations and Finite Difference Equations....Pages 67-72
Numerical Calclus with MATLAB. Applications to Differential Equations....Pages 73-100
Ordinary and Partial Differential Equations with Initial and Boundary Values....Pages 101-123
Symbolic Differential and Integral Calculus....Pages 125-171
Alternative description
Chapter 5: Systems of Differential Equations and Finite Difference EquationsSystems 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
Alternative description
Chapter 2: First Order Differential Equations. Exact Equations, Separation of Variables, Homogeneous and Linear EquationsFirst 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
Alternative description
Switch and CaseContinue; 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; Ordinary Differential Equations with Boundary Values; Partial Differential Equations; Exercise 7-1; Exercise 7-2; Exercise 7-3; Chapter 8: Symbolic Differential and Integral Calculus
Alternative description
Non-Homogeneous Equations with Variable Coefficients. Cauchy-Euler EquationsThe 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
date open sourced
2014-11-10
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