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Proposal of an Analytical Iterative Approach for the Simple Harmonic Oscillator

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Abstract In this work we propose an analytical iterative approach in which the temporal evolution was replaced by the number of iterations. And for the case of a mass-spring system we obtained its velocity and its position as a function of time as partial sums of series that converged to the trigonometric functions that are the solutions of the simple harmonic oscillator.
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2019-10-30
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