Solving 2nd Order Nonlinear Differential Equations Using Piecewise Analytic Method (Pendulum Equations)

Authors

  • Tamer Ahmed Abassy

    Benha University, Egypt

Received date: August 29, 2020

Accepted date: October 31, 2020

Published date: May 8, 2021

DOI:

https://doi.org/10.14419/ijamr.v10i1.31119

Keywords:

Nonlinear Differential Equation, Pade Approximants, Piecewise Analytic Method, Runge-Kutta Method, Pendulum Equations.

Abstract

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.

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How to Cite

Abassy, T. A. (2021). Solving 2nd Order Nonlinear Differential Equations Using Piecewise Analytic Method (Pendulum Equations). International Journal of Applied Mathematical Research, 10(1), 10-17. https://doi.org/10.14419/ijamr.v10i1.31119

Received date: August 29, 2020

Accepted date: October 31, 2020

Published date: May 8, 2021