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

  • Authors

    • Tamer Ahmed Abassy Benha University, Egypt
    2021-05-08
    https://doi.org/10.14419/ijamr.v10i1.31119
  • 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: 2020-08-29

    Accepted date: 2020-10-31

    Published date: 2021-05-08