Heun's method: Difference between revisions

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by way of Heun's method, is to first calculate the intermediate value <math>\tilde{y}_{i+1}</math> and then the final approximation <math>y_{i+1}</math> at the next integration point.
:<math>\tilde{y}_{i+1} = y_i + h f(t_i,y_i)</math>
:<math>y_{i+1} = y_i + \frac{h}{2}(f(t_i, y_i) + f(t_{i+1},\tilde{y}_{i+1})).,</math>
where <math>h</math> is the step size and <math>t_{i+1}=t_i+h</math>.
 
==Description==