A numerical approach for solving the Fractal ordinary differential equations

被引：0

作者：

Pashmakian, Nooshin ^{[1
]}

Farajzadeh, Ali ^{[2
]}

Parandin, Nordin ^{[3
]}

Karamikabir, Nasrin ^{[1
]}

机构：

[1] Islamic Azad Univ, Dept Math, Hamedan Branch, Hamadan, Iran

[2] Razi Univ, Dept Math, Kermanshah, Iran

[3] Islamic Azad Univ, Dept Math, Kermanshah Branch, Kermanshah, Iran

来源：

COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2024年 / 12卷 / 04期

关键词：

Fractal Differential Equations; Taylor series; Continuous; Discrete points; SIMULATION;

D O I：

10.22034/cmde.2023.55868.2331

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, fractal differential equations are solved numerically. Here, the typical fractal equation is considered as follows: du(t)/dt(alpha )= f{t, u(t)}, alpha >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 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.

引用

页码：780 / 790

页数：11

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