More generally, let f(x) be smooth with f"(xo) formula 0. Show that the truncation error in the with hi = h and ho = h/2 must decrease linearly, and not faster, as h → 0. More generally, let...

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More generally, let f(x) be smooth with f(xo) formula 0. Show that the truncation error in the with hi = h and ho = h/2 must

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Answer 1

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Any querh then comment below...

fl(ngslt hi2丿.((x. 1ャ (ho.th)

So error comes out to be O(h) .... It is first order...

So it decreases linearly w.r.t h ...

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Answer 2

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More generally, let f(x) be smooth with f"(xo) formula 0. Show that the truncation error in the with hi = h and ho = h/2 must decrease linearly, and not faster, as h → 0. More generally, let...

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Add Answer to: More generally, let f(x) be smooth with f"(xo) formula 0. Show that the truncation error in the with hi = h and ho = h/2 must decrease linearly, and not faster, as h → 0. More generally, let...

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More generally, let f(x) be smooth with f"(xo) formula 0. Show that the truncation error in the with hi = h and ho = h/2 must decrease linearly, and not faster, as h → 0. More generally, let...