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- MakaleYalnız künye2013Adaptive multi-step differential transformation method to solve ODE systems
Gökdoǧan, Ahmet; Merdan, Mehmet
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.
AtıfScopus6WoS4
İncele - MakaleYalnız künye2012Scopus SJRQ1The modified algorithm for the differential transform method to solution of Genesio systems
Gökdoĝan, Ahmet; Merdan, Mehmet; Yildirim, Ahmet
In this article, approximate analytical solution of chaotic Genesio system is acquired by the modified differential transform method (MDTM). The differential transform method (DTM) is mentioned in summary. MDTM can be obtained from DTM applied to Laplace, inverse Laplace transform and Padé approximant. The MDTM is used to increase the accuracy and accelerate the convergence rate of truncated series solution getting by the DTM. Results are given with tables and figures.
AtıfScopus51WoS40OpenAlex63İncele - MakaleYalnız künye2011Scopus SJRQ2Numerical Approximations to Solution of Biochemical Reaction Model
Yildirim, Ahmet; Gökdogan, Ahmet; Merdan, Mehmet
In this paper, approximate analytical solution of biochemical reaction model is used by the multi-step differential transform method (MsDTM) based on classical differential transformation method (DTM). Numerical results are compared to those obtained by the fourth-order Runge-Kutta method to illustrate the preciseness and effectiveness of the proposed method. Results are given explicit and graphical form.
AtıfWoS1İncele