Title of article :
A numerical approach for solving the Fractal ordinary differential equations
Author/Authors :
Pashmakian ، Nooshin Department of Mathematics - Islamic Azad University, Hamedan Branch , Farajzadeh ، Ali Department of Mathematics - Razi University , Parandin ، Nordin Department of Mathematics - Islamic Azad University, Kermanshah Branch , Karamikabir ، Nasrin Department of Mathematics - Islamic Azad University, Hamedan Branch
Abstract :
In this paper, fractal differential equations are solved numerically. Here, the typical fractal equation is considered as follows: du(t)/dtα = f {t, u(t)} , α 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.
Keywords :
Fractal Differential Equations , Taylor series , Continuous , Discrete points
Journal title :
Computational Methods for Differential Equations
Journal title :
Computational Methods for Differential Equations
