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Detail of RK4 for 1.st order ODE
Shows detail of RK4 in ODE integration.
2025.Feb.19 21:33:07
Initial value Initial value (at t = 0). •
h, tf Integration step, final time. •
Show values ? Shows the graph coordinates.

Integrates a 1.st order ODE via RK4, in order to show the detail of the method, i.e., its 4 coefficients.

The problem is based on a particular embedded 1.st order ODE [Mahaffy]: x' = t + x .

An Excel file.xlsx (with macros) solving the problem and showing the detail is also given.

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

References: Plate: ODE1RK4detail

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

• Mahaffy, J. M. (San Diego State University)

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

 
 
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Created: 2019-12-26 — Last modified: 2020-03-30