Yazar "Yildirim, Ahmet" için listeleme
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Adaptive multi-step differential transformation method to solving nonlinear differential equations
Gokdogan, Ahmet; Merdan, Mehmet; Yildirim, Ahmet (Pergamon-Elsevier Science Ltd, 2012)In this paper, we propose a fast and effective adaptive algorithm for the multi-step differential transformation method (MsDTM). This approach named as the adaptive MsDTM is applied to a number of nonlinear differential ... -
Chaotic systems via multi-step differential transformation method
Yildirim, Ahmet; Gokdogan, Ahmet; Merdan, Mehmet (Canadian Science Publishing, 2012)In this article, the multi-step differential transform method is implemented to give approximate and analytical solutions of nonlinear fractional order ordinary differential equation systems, such as Chen, Lorenz, ... -
The modified algorithm for the differential transform method to solution of Genesio systems
Gokdogan, Ahmet; Merdan, Mehmet; Yildirim, Ahmet (Elsevier Science Bv, 2012)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 ... -
A multistage differential transformation method for approximate solution of Hantavirus infection model
Gokdogan, Ahmet; Merdan, Mehmet; Yildirim, Ahmet (Elsevier Science Bv, 2012)The goal of this study is presented a reliable algorithm based on the standard differential transformation method (DTM), which is called the multi-stage differential transformation method (MsDTM) for solving Hantavirus ... -
Numerical Approximations to Solution of Biochemical Reaction Model
Yildirim, Ahmet; Gokdogan, Ahmet; Merdan, Mehmet (Berkeley Electronic Press, 2011)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 ... -
Numerical Simulation of Fractional Fornberg-Whitham Equation by Differential Transformation Method
Merdan, Mehmet; Gokdogan, Ahmet; Yildirim, Ahmet; Mohyud-Din, Syed Tauseef (Hindawi Publishing Corporation, 2012)An approximate analytical solution of fractional Fornberg-Whitham equation was obtained with the help of the two-dimensional differential transformation method (DTM). It is indicated that the solutions obtained by the ... -
Numerical solution of time-fraction modified equal width wave equation
Merdan, Mehmet; Yildirim, Ahmet; Gokdogan, Ahmet (Emerald Group Publishing Ltd, 2012)Purpose - The purpose of this paper is to show how an application of fractional two dimensional differential transformation method (DTM) obtained approximate analytical solution of time-fraction modified equal width wave ... -
On numerical solution to fractional non-linear oscillatory equations
Merdan, Mehmet; Gokdogan, Ahmet; Yildirim, Ahmet (Springer, 2013)In this article, the multi-step differential transform method (MsDTM) is applied to give approximate solutions of nonlinear ordinary differential equation such as fractional-non-linear oscillatory and vibration equations. ... -
On the numerical solution of the model for HIV infection of CD4(+) T cells
Merdan, Mehmet; Gokdogan, Ahmet; Yildirim, Ahmet (Pergamon-Elsevier Science Ltd, 2011)In this article, a variational iteration method (VIM) is performed to give approximate and analytical solutions of nonlinear ordinary differential equation systems such as a model for HIV infection of CD4(+) T cells. A ... -
Solution of time-fractional generalized Hirota-Satsuma coupled KdV equation by generalised differential transformation method
Merdan, Mehmet; Gokdogan, Ahmet; Yildirim, Ahmet; Mohyud-Din, Syed Tauseef (Emerald Group Publishing Ltd, 2013)Purpose - In this article, the aim is to obtain an approximate analytical solution of time-fraction generalized Hirota-Satsuma coupled KDV with the help of the two dimensional differential transformation method (DTM). Exact ... -
Solving a fractional order model of HIV infection of CD4(+) T cells
Gokdogan, Ahmet; Yildirim, Ahmet; Merdan, Mehmet (Pergamon-Elsevier Science Ltd, 2011)In this paper, a multi-step differential transform method (MsDTM) is performed to give approximate and analytical solutions of nonlinear fractional order ordinary differential equation systems such as a model for HIV ...
