Solving Fractional Dynamical System with Freeplay by Combining Memory-Free Approach and Precise Integration Method

Q. X. Liu, X. S. He, J. K. Liu, Y. M. Chen and L. C. Huang

Mathematical Problems in Engineering, 2016, vol. 2016, 1-7

Abstract:

The Yuan-Agrawal (YA) memory-free approach is employed to study fractional dynamical systems with freeplay nonlinearities subjected to a harmonic excitation, by combining it with the precise integration method (PIM). By the YA method, the original equations are transformed into a set of first-order piecewise-linear ordinary differential equations (ODEs). These ODEs are further separated as three linear inhomogeneous subsystems, which are solved by PIM together with a predictor-corrector process. Numerical examples show that the results by the presented method agree well with the solutions obtained by the Runge-Kutta method and a modified fractional predictor-corrector algorithm. More importantly, the presented method has higher computational efficiency.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:9430528

DOI: 10.1155/2016/9430528

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