Introduction the the Runge-Kutta Order Four Method by Example (with Mathematica Code)
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The Runge-Kutta Order Four Method
The Runge-Kutta Order Four Method (RK4 Method) for approximating solutions of initial-value problems of ordinary differential equations is the most common numerical method used. The change in the function is approximated by the step size h=Δt times a weighted average of four slopes at different locations in the slope field for dy/dt = f(t,y). We use this for the example dy/dt = f(t,y) = 12-4y/(10+2t), y(0)=200. We also show Wolfram Mathematica code. 🔴 Burden, Faires, Burden "Numerical Analysis": https://amzn.to/3DBvCWn
Numerical Analysis, Class 25B
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Numerical Analysis, Class 25B
#RungeKutta #RungeKuttaMethod #NumericalAnalysis #DifferentialEquations
Links and resources
===============================
🔴 Subscribe to Bill Kinney Math: https://www.youtube.com/user/billkinn...
🔴 Subscribe to my Math Blog, Infinity is Really Big: https://infinityisreallybig.com/
🔴 Follow me on Twitter: Twitter: billkinneymath
🔴 Follow me on Instagram: Instagram: billkinneymath
🔴 You can support me by buying "Infinite Powers, How Calculus Reveals the Secrets of the Universe", by Steven Strogatz, or anything else you want to buy, starting from this link: https://amzn.to/3eXEmuA.
🔴 Check out my artist son Tyler Kinney's website: https://www.tylertkinney.co/
🔴 Desiring God website: https://www.desiringgod.org/
AMAZON ASSOCIATE
As an Amazon Associate I earn from qualifying purchases.
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