Discuss consistency, stability, and convergence for the Implicit Trapezoidal method wi+1 = wi + h/2 (f (ti+1,wi+1)
Question:
wi+1 = wi + h/2 (f (ti+1,wi+1) + f (ti ,wi)) , for i = 0, 1, . . . , N − 1,
With w0 = α applied to the differential equation
y' = f (t, y), a ≤ t ≤ b, y(a) = α.
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Step by Step Answer:
Using Eq 425 gives 28i1 y i 12 h 2 for some t i i t i1 and by Definition 518 the T...View the full answer
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