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A one-step algorithm for strongly non-linear full fractional duffing equations | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 28 اردیبهشت 1402 اصل مقاله (1.33 MB) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2023.53596.2256 | ||
| نویسندگان | ||
Jafar Biazar   1؛ Hamed Ebrahimi 2
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| 1Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O. Box 41335-1914, P.C.4193822697, Rasht, Iran. | ||
| 2Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O. Box 41335-1914, P.C.4193822697, Rasht, Iran | ||
| چکیده | ||
| In the current study, a one-step numerical algorithm is presented to solve strongly non-linear full fractional duffing equations. A new fractional-order operational matrix of integration via a quasi-hat functions (QHFs) is introduced. Utilizing the operational matrices of QHFs, the main problem will be transformed into a number of univariate polynomial equations. Absolute errors of the resulted approximations and convergence analysis are addressed. Ultimately, four examples are provided to illustrate the capabilities of this algorithm. The numerical results are illustrated in some Tables and Figures, for different values of the parameters $\alpha~ and~ \beta$. | ||
| کلیدواژه‌ها | ||
| Fractional Duffing differential equations؛ Numerical algorithms؛ Strongly nonlinear؛ Quasi-hat function؛ Fractional operational matrix | ||
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آمار تعداد مشاهده مقاله: 6 تعداد دریافت فایل اصل مقاله: 30 |
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