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Q62Section I (Objective (Q1–Q80))61 of 79

Numerical Analysis — comparing orders of Euler and Runge-Kutta methods

Consider the following statements:

I. Forward Euler method and backward Euler method for initial value problem have same order.\text{I. Forward Euler method and backward Euler method for initial value problem have same order.}

II. Classical fourth order Runge-Kutta method for initial value problem has higher order than forward Euler method.\text{II. Classical fourth order Runge-Kutta method for initial value problem has higher order than forward Euler method.}

III. Classical fourth order Runge-Kutta method for initial value problem has higher order than backward Euler method.\text{III. Classical fourth order Runge-Kutta method for initial value problem has higher order than backward Euler method.}

Which of the statements given above are correct?

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