论文信息 - On the numerical verification of the asymptotic expansion of duffing's equation

On the numerical verification of the asymptotic expansion of duffing's equation

In this paper a numerical method is implemented for the verification of the order of the asymptotic expansion of Duffing's equation. The technique is illustrated by considering the perturbation solution of the equation at some particular values.

Shishen Xie | Suheil A. Khuri

[1] D. L. Bosley. A Technique for the Numerical Verification of Asymptotic Expansions , 1996, SIAM Rev..

[2] Vimal Singh,et al. Perturbation methods , 1991 .

[3] S. Orszag,et al. Advanced Mathematical Methods For Scientists And Engineers , 1979 .

[4] H. Weitzner,et al. Perturbation Methods in Applied Mathematics , 1969 .

[5] Joshua Kiddy K. Asamoah,et al. Fractal–fractional age-structure study of omicron SARS-CoV-2 variant transmission dynamics , 2022, Partial Differential Equations in Applied Mathematics.