Differential Equations With Matlab Brian Hunt Pdf Download

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Christel Malden

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May 27, 2024, 12:16:40 AM5/27/24

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Differential Equations with MATLAB, 3rd edition, revised version is a supplemental text for a first course in ordinary differential equations. Written for use with most ODE texts, this book helps instructors move towards an earlier use of numerical and geometric methods, places a greater emphasis on systems (including nonlinear ones), and increase discussions of both the benefits and possible pitfalls in numerical solution of ODEs. It changes the emphasis in the traditional ODE course by using MATLAB to introduce numerical methods, geometric interpretation, symbolic computation, and qualitative analysis. The book focuses on the specific features of MATLAB that are useful for analyzing differential equations.

Differential Equations With Matlab Brian Hunt Pdf Download

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Since the third edition of Differential Equations with MATLAB first appeared in 2012, there have been many changes and enhancements to MATLAB and Simulink. These include addition of live scripts, new plotting commands, and major changes to Symbolic Math Toolbox. This revised version brings the text up to date with the 2019a release of MATLAB.

The book uses MATLAB code throughout, includes a brief introduction to Simulink, and uses Symbolic Math Toolbox to demonstrate symbolic approaches. The book also includes examples of MATLAB Live Editor.

This lecture is organized around the following key points aiming at providing students with some important and useful basic knowledge in computational engineering. A particular attention is devoted to solving linear and nonlinear mathematical models (e.g. linear and/or nonlinear algebraic equations, linear and/or nonlinear ordinary differential equation, and linear partial differential equations) with MATLAB/SIMULINK. Further some concrete application examples of practical interest are considered in the fields of Transportation engineering, mechatronics, Control systems engineering, and Signal processing (e.g. simulation of microscopic traffic flow (using ODE models), simulation of macroscopic traffic flow (using PDE models), simulation of filters (using transfer functions), Extraction of a Signal embedded in noise (using correlation and auto-correlation principles).

1. Traffic flow analysis: Simulation of models in transportation using MATLAB/SIMULINK (e.g. microscopic traffic flow modeled by ordinary differential equations, macroscopic traffic flow modeled by partial differential equations, etc.)

2. Oscillatory systems in engineering: Simulation of control systems, mechanical and electromechanical systems modeled by coupled nonlinear ordinary differential equations (e.g. Pendulum systems, Electrodynamics loudspeakers, dynamics of an airplane, electrical circuits, analog circuits, analog computing, etc.)

3. The slides contain exercises with solutions to allow a good understanding of the contents of each chapter. These solutions are systematically explained (during the lecture) by the lecturer.