TY - JOUR
TI - Numerical solution for time period of simple pendulum with large angle
AU - Abdulkareem Sarkew S
AU - Akgül Ali
AU - Jalal Viyan J
AU - Faraj Bawar Mohammed
AU - Abdulla Omed Gh
JN - Thermal Science
PY - 2020
VL - 24
IS - 11
SP - 25
EP - 30
PT - Article
AB - In this study, the numerical solution of the ordinary kind of differential equation for a simple pendulum with large-angle of oscillation was introduced to obtain the time period. The analytical solution is obtained in terms of elliptic functions, and numerical solution of the problem was achieved by using two numerical quadrature methods, namely, Simpson’s 3/8 and Boole’s method. The period of a simple pendulum with large angle is presented. A comparison has been carried out between the analytical solution and the numerical integration results. In the case of error analysis, absolute and relative errors of the problem have been presented. A numerical algorithm has been developed by MATLAB software 2013R and used for analyzing the result. It is established that the results of the comparison guaranty the ability and the accuracy of the present method.