Adaptive multi-step differential transformation method to solve ODE systems

Authors

  • AHMET GOKDOGAN Gümüşhane University, Department of Mathematical Engineering, 29100, Gümüşhane, Turkey
  • MEHMET MERDAN Gümüşhane University, Department of Mathematical Engineering, 29100, Gümüşhane, Turkey

Keywords:

The differential transform method, adaptive, Runge-Kutta method, chaotic systems.

Abstract

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.

 

References

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Published

03-09-2013