GATE | GATE CS 1997 | Question 28

Using the forward Eular method to solve y”(t) = f(t), y'(0) = 0 with a step size of h, we obtain the following values of y in the first four iterations:

a. 0, h f(0), h (f(0) + f(h)) and h (f(0) – f(h) + f(2h))

b. 0, 0, h² f(0) and 2h² f(0) + f(h)

c. 0, 0, h² f(0) and 3h² f(0)

d. 0, 0, h f(0) + h² f(0) and  h f(0) + h² f(0) + hf(h)
(A) a
(B) b
(C) c
(D) d


Answer: (D)

Explanation:

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