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A Meshless Method for Numerical Solutions of Non-Homogeneous Differential Equation with Variable Delays | ||
| Caspian Journal of Mathematical Sciences | ||
| مقاله 11، دوره 10، شماره 2، اسفند 2021، صفحه 254-268 اصل مقاله (218.58 K) | ||
| نوع مقاله: Research Articles | ||
| شناسه دیجیتال (DOI): 10.22080/cjms.2020.18493.1476 | ||
| نویسندگان | ||
| Samaneh Soradi-Zeid* 1؛ Fahimeh Akhavan Ghassabzade2 | ||
| 1Faculty of Industry and Mining (Khash), University of Sistan and Baluchestan, Zahedan, Iran | ||
| 2Department of Mathematics, Faculty of Sciences, University of Gonabad, Gonabad, Iran. | ||
| تاریخ دریافت: 14 فروردین 1399، تاریخ بازنگری: 13 اردیبهشت 1399، تاریخ پذیرش: 14 اردیبهشت 1399 | ||
| چکیده | ||
| This paper is devoted to solve a class of differential equation with simultaneously combining variable coeffcients and variable delays namely variable-delay di erential equations (VDDEs). For this purpose, a numerical method is proposed in which the unknown function and its derivative are approximated with the basis of interpolating Multiquadric radial basis functions (MQRBFs) at arbitrary collocation points. According to the existing mechanism, the synchronization problem is recast to a system of algebraic equations. In the other hand, the proposed method provides a very adjustable framework for approximation according to the discretization and due to a board range of arbitrary nodes. Finally, some illustrative examples are given to verify the validity and applicability of the new technique and also a comparison between our results and the existing studies is performed. | ||
| کلیدواژه‌ها | ||
| Radial basis function؛ Multiquadric function؛ Collocation method؛ Variable delay؛ Variable coeffcients | ||
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آمار تعداد مشاهده مقاله: 317 تعداد دریافت فایل اصل مقاله: 258 |
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