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A NUMERICAL APPROACH FOR SOLVING THE FRACTAL ORDINARY DIFFERENTIAL EQUATIONS | ||
Computational Methods for Differential Equations | ||
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 03 فروردین 1403 اصل مقاله (1.81 M) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22034/cmde.2023.55868.2331 | ||
نویسندگان | ||
Nooshin Pashmakian1؛ Ali Farajzadeh* 2؛ Nordin Parandin3؛ Nasrin Karamikabir1 | ||
1Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran. | ||
2Department of Mathematics, Razi University, Kermanshah, Iran. | ||
3Department of Mathematics, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran. | ||
چکیده | ||
In this paper, fractal differential equations are solved numerically. Here, the typical fractal equation is considered as follows: du(t) /dt = f ft; u(t)g ; > 0: f can be a nonlinear function and the main goal is to get u(t). The continuous and discrete modes of this method have differences, so that subject must be carefully studied. How to solve fractal equations in their discrete form will be another goal of this research and also its generalization to higher dimensions than other aspects of this research. | ||
کلیدواژهها | ||
Taylor series؛ Continuous؛ Discrete points | ||
آمار تعداد مشاهده مقاله: 12 تعداد دریافت فایل اصل مقاله: 49 |