Euler, Runge–Kutta (RK4) and ABAM Calculator: Step-by-Step Solutions

Step-by-step tables with every intermediate value and errors against the exact solution. Every step of the solution is shown, as you would write it on paper, using exact fractions.

What it solves

Euler, improved Euler (Heun), classical Runge–Kutta (RK4), and the Adams–Bashforth/Adams–Moulton predictor–corrector (ABAM, started with RK4). Give the exact solution (optional) to see the errors.

How to use it

1. Enter your own numbers or functions in the boxes (an example is already filled in, or press Random example).
2. Check the equation preview, then press Solve step by step.
3. Reveal the solution one step at a time with Next step, or show everything at once.

Need the theory first? Read Section 8.6: Numerical Methods III: Runge–Kutta, which explains the method in small steps with worked examples and exercises, then come back and test yourself with the Chapter 8 quiz.

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