MathPlotAI Logo MathPlotAI

Runge Kutta 4th Order Method Demo

Runge Kutta 4th Order Method Demo
Loading the math board and drawing, please wait…
2019-09-26 23:27
VectorFunctionCalculusDerivativeIntegral
This example demonstrates the application of the Runge-Kutta 4th order method for solving differential equations, visualizing the numerical integration process through dynamic graphics. Core math concepts include differential equations, numerical methods, vector fields, and error analysis. Construction highlights involve using Textfield for input/output, SlopeField for direction fields, and Vector commands, with objects like dx, f, InputBox1. Suitable for university students and researchers in mathematics, computational mathematics, and physics.

GeoGebra Commands & Parameters

  1. Textfield(dx) → InputBox1
  2. Textfield(f) → InputBox2
  3. SlopeField(f, 40, 1) → slopefield1
  4. Vector(C5, C5 + (dx, C3)) → u
  5. Vector(D5, D5 + (dx, D3)) → v
  6. Vector(E5, E5 + (dx, E3)) → w
  7. Vector(F5, F5 + (dx, F3)) → a
  8. Vector(InitialCondition, InitialCondition + (dx, (1 / 6 * (C3 + (2 * D3) + (2 * E3) + F3)))) → b
  9. Textfield(InitialCondition) → InputBox3