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Single-equation model
  Solves numerically and plots the solution to a given single ODE, via RK4.
2024.Jul.03 18:20:30
A, α, B Equation parameters (see below). •
ti, tf h (both)† Initial time, final reaction time. •
y0 m Initial function value. •
h, npr h, - Integration step and no. of print lines. •
.points     No. of points in graph (if 0, Δt ⁄ h). •
Show values ? Shows the graph coordinates.
  Solves a single-equation model from a "system setup" [Rieder & Busby, 1986, Exa. 5.3, p 109],
dy⁄dt = A yα + B t,
numerically, via a 4.th order Runge-Kutta (RK4) method, and plots the results vs. time.     (Mathematica notebook)
 [For the basis problem and parameters, the result reported is y(0.5) = 6.2633.]
† The original problem mentions no physical units.
References: Plate: RiederBusby53

• [Rieder & Busby, 1986].

• 1852-04-12: Lindemann, Carl Louis Ferdinand von, birthday.

 
 
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Created: 2009-04-12 — Last modified: 2016-11-22