Heun's method: Difference between revisions

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m Derivation: Fraction
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:<math>\text{Slope}_{\text{left}} = f(x_i, y_i)</math>
:<math>\text{Slope}_{\text{right}} = f(x_i + h, y_i + h f(x_i, y_i))</math>
:<math>\text{Slope}_{\text{ideal}} = (\frac{1/}{2)} (\text{Slope}_{\text{left}} + \text{Slope}_{\text{right}})</math>
 
Using the principle that the slope of a line equates to the rise/run, the coordinates at the end of the interval can be found using the following formula: