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    Undergrad Derive local truncation error for the Improved Euler Method

    I'm trying to find the local truncation error of the autonomous ODE: fx/ft = f(x). I know that the error is |x(t1) − x1|, but I can't successfully figure out the Taylor expansion to get to the answer, which I believe is O(h^3). Any help would be greatly appreciated!
    • oceanix
    • Thread
    • Derive Error Euler Euler method Local Method Ode Taylor expansion Truncated
    • Replies: 2
    • Forum: Differential Equations