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Detail of RK4 for higher order ODE
Shows detail of RK4 in ODE integration. UNDER CONSTRUCTION
2024.Jul.03 18:17:20
Initial values Initial value(s) (at t = 0). •
h, tf Integration step, final time. •
See RK4 ?   See RK4 slopes. •
Show values ? Shows the graph coordinates.

Integrates a higher order ODE via RK4, in order to show the detail of the method, i.e., its 4 (vector) slopes.

The problem is based on a particular embedded higher (2.nd) order ODE [Mørken]: see ODE "Example 39" .

A Mathematica.nb solving the problem is also given.

#Plots the numerical (x) and analytical (xa) curves.

References: Plate: ODEhRK4detail

• Google: Runge Kutta • Wikipedia: Runge–Kutta methods

• Mørken, Knut Martin, Universitetet i Oslo (O. University)

• 1859-03-26: Hurwitz, Adolf (†1919-11-18, 60 yrs.). (Erdős Pál)

 
 
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Created: 2019-12-26 — Last modified: 2020-03-28