Open AccessSolving 2nd Order Nonlinear Differential Equations Using Piecewise Analytic Method (Pendulum Equations)
Author(s) -
Tamer A. Abassy
Publication year - 2021
Publication title -
international journal of applied mathematical research
Language(s) - English
Resource type - Journals
ISSN - 2227-4324
DOI - 10.14419/ijamr.v10i1.31119
Subject(s) - mathematics , piecewise , pendulum , nonlinear system , differential equation , order (exchange) , mathematical analysis , control theory (sociology) , control (management) , computer science , physics , finance , quantum mechanics , artificial intelligence , economics
In this paper, piecewise analytic method (PAM) is used for solving highly nonlinear 2nd order differential equation (pendulum equations) which is a big problem for engineers and scientists. PAM is used for showing the nonlinear dynamics of the solution with and without linearizion. The error and accuracy of the solution are controlled easily according to our needs.