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ODE Solver Comparison
Euler, RK2, RK4, and adaptive RK45 on classic test problems
Problem:
Stiff: y' = -100y + sin(t)
Harmonic oscillator
Van der Pol oscillator
y' = -y (exact: e^-t)
Logistic growth
Step size h:
0.05
Solve
Exact
Euler
RK2
RK4
RK45 (adaptive)
Solution y(t)
Global Error |y - y_exact|
Step Sizes (RK45 adaptive)