Numerical simulation of the nonlinear fractional dynamical systems with fractional damping for the extensible and inextensible pendulum
Yin, Cui-Ying, Liu, Fawang, & Anh, Vo V. (2007) Numerical simulation of the nonlinear fractional dynamical systems with fractional damping for the extensible and inextensible pendulum. Journal of Algorithms & Computational Technology, 1(4), pp. 427-447.
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Abstract
In this paper we consider a class of nonlinear dynamical systems with fractional damping. The problem is transformed into a system of fractional-order differential equations. A computationally effective fractional predictor-corrector method is used to simulate and examine the effects and solution behavior of the nonlinear dynamical systems with fractional damping for extensible and inextensible pendulum. The corresponding error analysis is derived. Finally, some numerical examples are given. This method and technique can be applied to solve other fractional-order ordinary differential equations.
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