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ORDINARY DIFFERENTIAL EQUATION

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Major

Electrical


BACKGROUND

What are ordinary differential equations? [PDF] [DOC]

A Primer on Ordinary Differential Equations [PDF] [DOC]

Test your knowledge of background of ordinary differential equation [HTML] [PDF] [DOC]

 

PHYSICAL PROBLEM

Sizing a rectifier-based power supply. [PDF] [DOC]

 

NUMERICAL METHOD

EULER'S METHOD

How does Euler's method work? [PDF] [DOC]

EBook on Euler's Method [HTML]

A Power point presentation on Euler's method [PDF] [PPT]

Simulation of Euler's method [MCD]

Convergence Simulation of Euler's method [MCD]

Test your knowledge of Euler's method [HTML] [PDF] [DOC]

 

RUNGE-KUTTA 2nd ORDER METHOD

How does Runge-Kutta 2nd order method work? [PDF] [DOC]

EBook on Runge-Kutta 2nd Order Method [HTML]

A Power point presentation on Runge-Kutta 2nd order method [PDF] [PPT]

Simulation of Runge-Kutta 2nd order method [MCD]

Convergence simulation of Runge-Kutta 2nd order method [MCD]

Test your knowledge of Runge-Kutta 2nd order method [HTML] [PDF] [DOC]

 

RUNGE-KUTTA 4th ORDER METHOD

How does Runge-Kutta 4th order method work? [PDF] [DOC]

EBook on Runge-Kutta 4th Order Method [HTML]

A Power point presentation on Runge-Kutta 4th order method [PDF] [PPT]

Simulation of Runge-Kutta 4th order method [MCD]

Convergence simulation of Runge-Kutta 4th order method [MCD]

Test your knowledge of Runge-Kutta 4th order method [HTML] [PDF] [DOC]

 

SHOOTING METHOD

How does Shooting Method work? [PDF] [DOC]

EBook on Shooting Method [HTML]

A Power point presentation on Shooting Method [PDF] [PPT]

Simulation of Shooting Method [MCD]

Test your knowledge of Shooting Method [HTML] [PDF] [DOC]

 

FINITE DIFFERENCE METHOD

How does Finite Difference Method work? [PDF] [DOC]

EBook on Finite Difference Method [HTML]

A Power point presentation on Finite Difference Method [PDF] [PPT]

Simulation of Finite Difference Method [MCD]

Test your knowledge of Finite Difference Method [HTML] [PDF] [DOC]

 

ANECDOTES

On solving higher order and coupled ordinary differential equations [PDF] [DOC] [MCD]

Euler [HTML] [PDF] [DOC]

Runge [HTML] [PDF] [DOC]

Kutta [HTML] [PDF] [DOC]

Copyrights: University of South Florida, 4202 E Fowler Ave, Tampa, FL 33620-5350. All Rights Reserved. Questions, suggestions or comments, contact kaw@eng.usf.edu  This material is based upon work supported by the National Science Foundation under Grant# 0126793, 0341468 and 071624.  Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.  Other sponsors include Mathcad, MathCAD, USF, FAMU and MSOE.