Heun's method: Difference between revisions

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m Description: Typo fixing, replaced: over estimate → overestimate (3), under estimate → underestimate (3) using AWB (8207)
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|publisher=LiveToad.org
|url=http://livetoad.org/Courses/Documents/214a/Notes/euler-heun_method.pdf
}}</ref>. The scheme can be compared with the [[Explicit and implicit methods|implicit]] [[trapezoidal method]], but with <math>f(t_{i+1},y_{i+1})</math> replaced by <math>f(t_{i+1},\tilde{y}_{i+1})</math> in order to make it explicit. <math>\tilde{y}_{i+1}</math> is the result of one step of [[Euler's method]] on the same initial value problem. So, Heun's method is a [[predictor-corrector method]] with forward [[Euler's method]me] as predictor and [[trapezoidal method]] as corrector.
 
==Runge–Kutta method==