A NUMERICAL APPROACH FOR SOLVING THE FRACTAL ORDINARY DIFFERENTIAL EQUATIONS

Pashmakian, Nooshin; Farajzadeh, Ali; Parandin, Nordin; Karamikabir, Nasrin

doi:10.22034/cmde.2023.55868.2331

A NUMERICAL APPROACH FOR SOLVING THE FRACTAL ORDINARY DIFFERENTIAL EQUATIONS

Document Type : Research Paper

Authors

¹ Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran.

² Department of Mathematics, Razi University, Kermanshah, Iran.

³ Department of Mathematics, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran.

10.22034/cmde.2023.55868.2331

Abstract

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.

Keywords

Main Subjects