Calculation Workspace
This page consolidates all computation-heavy tools into a single, isolated workspace. The calculators are powered by a small algorithm registry, so new equation solvers can be registered without rewriting UI components. For example, future solvers can be injected into the registry and rendered here with dedicated sections.
Interactive Numerical Explorer
Since a closed-form solution is unavailable, we turn to numerical methods. We can approximate a solution for using a recursive algorithm based on the relationship . Use the slider to see how the approximation improves with more iterations.
Exploring Divergent Orbits
Enter a starting value to see how the iterates of quickly diverge to infinity.
| Iteration (n) | Value (xₙ) |
|---|
Composita Calculator:
This section implements the recurrent formula by V.V. Kruchini to compute the composita "A^Δ(n,k)" for the solution function A(x). Enter the parameters for F(x) and the desired polynomial degree of A(x) to see the coefficients and a plot of both functions.
Input (f1, a, b, maxDegree):
Input Function F(x):
Solution Function A(x):