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RUNGE-KUTTA 2ND ORDER METHOD METHOD 

OF SOLVING ORDINARY DIFFERENTIAL EQUATIONS (CHAPTER 08.03)

 

Derivation: Part 1 of 2

 

By Autar Kaw

TOPIC DESCRIPTION
 

Runge Kutta 2nd order method is a method of solving an ordinary differential equation of the form

dy/dx=f(x,y), y(0)=y0.  

This video teaches you the derivation of Runge Kutta 2nd order method.
ALL VIDEOS FOR THIS TOPIC
 

Runge-Kutta 2nd Order Method: Background [YOUTUBE 9:46] [TRANSCRIPT]

Runge-Kutta 2nd Order Method: Formulas [YOUTUBE  10:57] [TRANSCRIPT]

Runge-Kutta 2nd Order Method: Heun's Method  [YOUTUBE  9:27] [TRANSCRIPT]

Runge-Kutta 2nd Order Method: Midpoint Method  [YOUTUBE  10:45] [TRANSCRIPT]

Runge-Kutta 2nd Order Method: Ralston's Method Part 1 of 2 [ YOUTUBE 7:09] [TRANSCRIPT]

Runge-Kutta 2nd Order Method: Ralston's Method Part 2 of 2 [ YOUTUBE 5:00] [TRANSCRIPT]

Runge-Kutta 2nd Order Method: Derivation Part 1 of 2 [ YOUTUBE 7:08] [TRANSCRIPT]

Runge-Kutta 2nd Order Method: Derivation Part 2 of 2 [ YOUTUBE 5:31] [TRANSCRIPT]
COMPLETE RESOURCES
  Get in one place the following: a textbook chapter, a PowerPoint presentation, individual YouTube lecture videos, worksheets to illustrate the method and its convergence, and multiple-choice questions on Runge-Kutta 2nd Order Method.

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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# Creative Commons License0126793, 0341468, 0717624,  0836981, 0836916, 0836805.  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 Maple, MathCAD, USF, FAMU and MSOE.  Based on a work at http://mathforcollege.com/nm.  Holistic Numerical Methods licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.

  

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