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On fractional linear multi-step methods for fractional order multi-delay nonlinear pantograph equation | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 29 آبان 1402 اصل مقاله (1.57 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2023.58018.2444 | ||
| نویسندگان | ||
| Moslem Valizadeh1؛ Yaghoub Mahmoudi* 2؛ Farhad Dastmalchi Saei3 | ||
| 1Department of Mathematics, Tabriz branch, Islamic Azad University, Tabriz, Iran | ||
| 2Department of Mathematics, Tabriz Branch Islamic Azad University, Tabriz, Iran | ||
| 3Department of Mathematics, Tabriz Branch,Islamic Azad University, Tabriz, Iran | ||
| چکیده | ||
| This paper presents the development of a series of fractional multi-step linear finite difference methods (FLMMs) designed to address fractional multi-delay pantograph differential equations of order $0 < \alpha \leq 1$. These $p$-FLMMs are constructed using fractional backward differentiation formulas of first and second orders, thereby facilitating the numerical solution of fractional differential equations. Notably, we employ accurate approximations for the delayed components of the equation, guaranteeing the retention of stability and convergence characteristics in the proposed $p$-FLMMs. To substantiate our theoretical findings, we offer numerical examples that corroborate the efficacy and reliability of our approach. | ||
| کلیدواژه‌ها | ||
| ractional derivative؛ Fractional integration؛ Fractional linear multi-step methods | ||
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آمار تعداد مشاهده مقاله: 37 تعداد دریافت فایل اصل مقاله: 67 |
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