A numerical approach for solving the Fractal ordinary differential equations
Publish Year: 1403
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_CMDE-12-4_011
تاریخ نمایه سازی: 8 مهر 1403
Abstract:
In this paper, fractal differential equations are solved numerically. Here, the typical fractal equation is considered as follows:\frac{du(t)}{dt^{\alpha}}=f\left\{ t,u(t)\right\},~~~\alpha>۰, 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 the 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.
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Authors
Nooshin Pashmakian
Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran.
Ali Farajzadeh
Department of Mathematics, Razi University, Kermanshah, Iran.
Nordin Parandin
Department of Mathematics, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran.
Nasrin Karamikabir
Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran.