Modified Euler's Method (also known as Heun's Method or the Predictor-Corrector Method) improves upon standard Euler's Method by averaging slopes at the beginning and predicted end of each step increment.

It achieves 2nd-order accuracy $\mathcal{O}(h^2)$ by using a two-stage predictor-corrector process:

Interactive Modified Euler's Method Calculator

Modified Euler's (Heun's) Solver

Demo

Slope Function $y' = f(x, y)$:

Initial $x_0$:

Initial $y_0$:

Step Size $h$:

Target $x$:

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