Simulation of Harmonic motion

Research Article

Simulation of Harmonic motion

Debrie Ayalew

Corresponding Author : Debrie Ayalew

Wolaita Sodo University, College of Natural and Computational Science, Department of Physics, Wolaita sodo ,Ethiopia, Po,box 138 Ethiopia.

Email ID : debrieayalew@gmail.com

Received : 2018-04-15 Accepted : 2018-05-29 Published : 2018-05-29

Abstract : In this work, we study the characteristics of simple harmonic motion and to solve physical problems related to simple harmonic motion (SHM) using MATLAB computer program. To achieve the objectives, the necessary techniques had been done using both analytical and numerical mathematical computations. Among the numerical methods, we had concentrate Runge Kutta forth order method. The solutions would be given by figures. For the undamped and damped SHM we solve numerically using the above numerical methods with applying the differential algorithm. With this respect, by adjusting the set of equidistant points (the step size) the numerical solution is comparable with the analytical one. For both cases, the undamped and damped SHM the numerical solution obtained using Runge-kutta is almost the same as to the solution obtained using analytical method.

Keywords : simple harmonic motion, Runge kutta fourth, analytical solution ,numerical solution

Citation : Debrie Ayalew (2018). Simulation of Harmonic motion. j. of Physical and Chemical Sciences.V6I3-02. DOI : 10.5281/zenodo.1254645

Copyright : © 2018 Debrie Ayalew . This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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