7.2: Numerical Methods - Initial Value Problem
https://math.libretexts.org/Bookshelves/Applied_Mathematics/Numerical_Methods_(Chasnov)/07%3A_Ordinary_Differential_Equations/7.02%3A_Numerical_Methods_-_Initial_Value_Problem
WebMay 31, 2022 · xn + 1 = xn + 1 2Δt(f(tn, xn) + f(tn + Δt, xn + 1)) The obvious problem with this formula is that the unknown value xn + 1 appears on the right-hand-side. We can, however, estimate this value, in what is called the predictor step. For the predictor step, we use the Euler method to find. xp n + 1 = xn + Δtf(tn, xn)
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