Adaptive multi-step differential transformation method to solve ODE systems

<p>In this paper, it is given a fast algorithm to solve chaotic differential systems using the multi-step differential transforms method (MsDTM). The approach is applied to a number of chaotic nonlinear differential equations and numerical results are given. Performance analyses reveal that th...

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Bibliographic Details
Published in:Kuwait Journal of Science
Main Authors: AHMET GOKDOGAN, MEHMET MERDAN
Format: Article
Language:English
Published: Elsevier 2013-09-01
Subjects:
The differential transform method
adaptive
Runge-Kutta method
chaotic systems.
Online Access:http://journals.ku.edu.kw/kjs/index.php/KJS/article/view/81
Description
Summary:<p>In this paper, it is given a fast algorithm to solve chaotic differential systems using the multi-step differential transforms method (MsDTM). The approach is applied to a number of chaotic nonlinear differential equations and numerical results are given. Performance analyses reveal that the proposed approach is an efficiency tool to solve using fewer time step to the considered equation systems.</p> <p> </p>
ISSN:2307-4108
2307-4116

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