Introduction the the Runge-Kutta Order Four Method by Example (with Mathematica Code)

Bill Kinney
Bill Kinney
694 بار بازدید - پارسال - 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

#RungeKutta #RungeKuttaMethod #NumericalAnalysis  #DifferentialEquations

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پارسال در تاریخ 1402/02/28 منتشر شده است.
694 بـار بازدید شده
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