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Part BCSIR NET June 2024explicit-scheme-uses-the-left-endpoint

Explicit scheme uses the left endpoint

If the value of the approximate solution of the initial value problem at x = 0.2 using the forward Euler method with step size 0.1 is 1.02, then the value of is

  1. A.0
  2. B.−1
  3. C.2
  4. D.1

You have the answer. Trap Analysis is why the other three were written.

Not a worked solution repeated four times — the specific reasoning error each wrong option was built to reward.

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50 are analysed free — try those first.

Related counterexample: A convergent method is stable for any step size

More on this topic

The chapter behind this: Numerical methods for ODE — free to read

From Numerical AnalysisNumerical ODE: Euler, Runge–Kutta

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