Chapter 08.03: Lesson: Midpoint method: Runge Kutta Second Order Method: Example
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YouTubenumericalmethodsguy
Chapter 08.03: Lesson: Midpoint method: Runge Kutta Second Order Method: Example
Learn the midpoint version of Runge-Kutta 2nd order method to solve ordinary differential equations. For more videos and resources on this topic, please visit http://nm.mathforcollege.com/topics/runge_kutta_2nd_method.html
91.3K viewsMar 9, 2009
Runge Kutta Examples
Runge's phenomenon: when equally spaced nodes betray you. Increase the degree of your interpolating polynomial, and instead of converging, it explodes near the endpoints of [-1,1]. The culprit isn't the function's real-line behaviour — it's complex singularities hiding just off the axis, silently poisoning the convergence that equally spaced nodes can never achieve. Thankfully chebyshev interpolation points save the day!
0:12
Runge's phenomenon: when equally spaced nodes betray you. Increase the degree of your interpolating polynomial, and instead of converging, it explodes near the endpoints of [-1,1]. The culprit isn't the function's real-line behaviour — it's complex singularities hiding just off the axis, silently poisoning the convergence that equally spaced nodes can never achieve. Thankfully chebyshev interpolation points save the day!
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