Unformatted text preview: (c) [1pt] using the midpoint method. (d) [1pt] using the 3rdorder RungeKutta method. (e) [1pt] using the 4thorder RungeKutta method. (f) [1pt] The analytical solution of the given diﬀerential equation is y = 2 . 75 e2 x + 1 . 5 x. 75. Using the above formula, compute y t (0 . 5) and then ﬁnd the fractional relative error for (a)  (e) and discuss the results. ± t = ± ± ± ± ± y ty a y t ± ± ± ± ± × 100% where y t is the analytical solution and y a is an approximation using numerical methods in (a)(e). 1...
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 Spring '11
 LEE
 Numerical Analysis, Midpoint method, 1pt, Analytical Solution, 1.5pt

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