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Euler vs RK4 for Conway's Game of Life

Simulate Conway's Game of Life live in your browser. This runs the real Euler vs RK4 solver — adjust the inputs, watch it respond instantly, and export the result. No install, no account.

Numerical Methods — Euler vs RK4Live

Controls

Solving dy/dt = y (true answer eᵗ). Euler drifts badly at large step sizes; RK4 hugs the exact curve. Shrink the step and both improve — RK4 far faster.

Presets

▶ Run in Python

Data Inspector

Step h0.50
Euler error8.695
RK4 error2.07e-2
RK4 order4th

Governing equation

Reading this result: Halving the step roughly halves Euler's error (1st order) but cuts RK4's by ~16× (4th order): that steep payoff is why RK4 dominates for smooth problems.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

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About this simulation

The full Euler vs RK4 tool models Conway's Game of Life with the same numerics engineers and scientists use — running entirely client-side. Change any parameter and the result updates in real time, so you can build intuition, check a design, or teach the concept without spreadsheets or installs.

More you can do with Euler vs RK4

Other ways to simulate Conway's Game of Life

Frequently asked questions

How do I simulate Conway's Game of Life?
Open this page and use the live Euler vs RK4 tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.
Is it free?
Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.
Can I use my own numbers?
Absolutely — every input is adjustable, and with data import you can drive Conway's Game of Life from your own measurements.