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An LN-stable method to solve the fractional partial integro-differential equations | ||
| Journal of Mathematical Modeling | ||
| دوره 11، شماره 1، خرداد 2023، صفحه 133-156 اصل مقاله (957.48 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2023.22727.2013 | ||
| نویسندگان | ||
| Fahimeh Ziyaee؛ Abolfazl Tari* | ||
| Department of Mathematics, Shahed University, Tehran, Iran | ||
| چکیده | ||
| In this paper, a class of Volterra fractional partial integro-differential equations (VFPIDEs) with initial conditions is investigated. Here, the well-known method of lines (MOLs) is developed to solve the VFPIDEs. To this end, the VFPIDE is converted into a system of first-order ordinary differential equations (ODEs) in time variable with initial conditions. Then the resulting ODE system is solved by an LN-stable method, such as Radau IIA or Lobatto IIIC. It is proved that the proposed method is LN-stable. Also, the convergence of the proposed method is proved. Finally, some numerical examples are given to illustrate the efficiency and accuracy of the proposed method. | ||
| کلیدواژه‌ها | ||
| Volterra fractional partial integro-differential equation؛ method of lines؛ LN-stability؛ convergence | ||
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آمار تعداد مشاهده مقاله: 697 تعداد دریافت فایل اصل مقاله: 397 |
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