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AP Calculus BC/Unit 7: Differential Equations
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Computational Complexity of Numerical Methods

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Consider the following numerical methods for approximating the solution to a differential equation:
(1) Graphical estimation by eye
(2) Euler’s method
(3) Heun’s method
(4) Runge-Kutta fourth-order method

Which of the following lists these methods in order of increasing computational complexity, from simplest to most complex?

A

Heun’s method, Euler’s method, Graphical estimation by eye, Runge-Kutta fourth-order method

B

Euler’s method, Graphical estimation by eye, Heun’s method, Runge-Kutta fourth-order method

C

Graphical estimation by eye, Euler’s method, Heun’s method, Runge-Kutta fourth-order method

D

Graphical estimation by eye, Heun’s method, Euler’s method, Runge-Kutta fourth-order method

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