a. An alternative derivation of FEFD is to equate the approximate slope (V,) of the approximate...
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a. An alternative derivation of FEFD is to equate the approximate slope (V,) of the approximate solution (curve) y(x) to the chord connecting the leading and trailing edges over the cell of interval (h =x+1-x,) on the curve. Show that this leads to the FEFD approximation to the ODE Y'(x) = /(x,Y (x)) b. Apply the same concept as in (a) but at the center of the interval X/2 =x, +h/2 to derive the midpoint rule FEFD called FEFDMP y, = Y-+hf (x/2:Ya/2), where Yasu2 y(x, +h/2). a. An alternative derivation of FEFD is to equate the approximate slope (V,) of the approximate solution (curve) y(x) to the chord connecting the leading and trailing edges over the cell of interval (h =x+1-x,) on the curve. Show that this leads to the FEFD approximation to the ODE Y'(x) = /(x,Y (x)) b. Apply the same concept as in (a) but at the center of the interval X/2 =x, +h/2 to derive the midpoint rule FEFD called FEFDMP y, = Y-+hf (x/2:Ya/2), where Yasu2 y(x, +h/2).
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Related Book For
Probability and Random Processes With Applications to Signal Processing and Communications
ISBN: 978-0123869814
2nd edition
Authors: Scott Miller, Donald Childers
Posted Date:
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