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3. We are computing the error of a one-step method by comparing to an explicitly known solution at time h, after one step. (i) Decreasing
3. We are computing the error of a one-step method by comparing to an explicitly known solution at time h, after one step. (i) Decreasing the step by a factor 10, how would the error change for a method of order p. (ii) Decreasing the step by a factor 10, how would the error change for the classical Runge-Kutta method? (iii) If you use matlab's ode45 and set all tolerances to 10-8. You compute the solution at time T = 100 and find that the error is much larger. What could be the reaons
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