Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

A Numerical Quadrature Solution for Time Period of Simple Pendulum Under Magnetic Action

Version 1 : Received: 13 December 2022 / Approved: 15 December 2022 / Online: 15 December 2022 (08:57:20 CET)

A peer-reviewed article of this Preprint also exists.

Jalal, V.J.; Faraj, B.M.; Mohammed Salih, D.T.; Abdulkareem, S.S.; Hama Ali, B.H.Z.; Hussien, B.M.; Mahmood, S.A.; Hama, S.A. Numerical Solution for Time Period of Simple Pendulum Under Magnetic Field. Journal of Studies in Science and Engineering 2023, 2, 60–66, doi:10.53898/josse2022246. Jalal, V.J.; Faraj, B.M.; Mohammed Salih, D.T.; Abdulkareem, S.S.; Hama Ali, B.H.Z.; Hussien, B.M.; Mahmood, S.A.; Hama, S.A. Numerical Solution for Time Period of Simple Pendulum Under Magnetic Field. Journal of Studies in Science and Engineering 2023, 2, 60–66, doi:10.53898/josse2022246.

Abstract

In the present study, a simple approximation expression is given for the relationship between the period and amplitude of a simple pendulum under magnetic action. The analytical solution presented for the given problem. Two numerical quadrature methods Simpson's and Boole's method were utilized to demonstrate a new approximation of the problem. The results of the numerical quadrature have been compared to the exact solution. Absolute and relative mistakes of the problem have been presented. The Matlab program 2013R has created a numerical method that is used to analyze the outcome, It has been determined that the comparison's outcomes attest to the method's suitability and correctness. Moreover, the results show that numerical solution is suitable for the problem.

Keywords

Simple Pendulum; Time Period; Magnetic Action; Numerical Integration; Error Analysis

Subject

Computer Science and Mathematics, Mathematics

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