Yazar "Gokdogan, Ahmet" için listeleme
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Adaptive multi-step differential transformation method to solve ODE systems
Gokdogan, Ahmet; Merdan, Mehmet (Academic Publication Council, 2013)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 ... -
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, ... -
EXISTENCE AND UNIQUENESS THEOREMS FOR SEQUENTIAL LINEAR CONFORMABLE FRACTIONAL DIFFERENTIAL EQUATIONS
Gokdogan, Ahmet; Unal, Emrah; Celik, Ercan (Univ Miskolc Inst Math, 2016)Recently, a new definition of fractional derivative called as the conformable fractional derivative which based on limits introduced by Khalil et al (2014). Later, Abdeljawad (2015) improved these definitions and gave the ... -
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 ... -
Multiplicative Laplace transform and its applications
Yalcin, Numan; Celik, Ercan; Gokdogan, Ahmet (Elsevier Gmbh, Urban & Fischer Verlag, 2016)In this work, taking definitions and properties of Laplace transform in classical analysis as a basis, we give some basic definitions and properties of the multiplicative Laplace transform. In addition, solutions of some ... -
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 ... -
A multistage variational iteration method for approximate-analytic solution of avian-human influenza epidemic model
Gokdogan, Ahmet; Merdan, Mehmet; Erturk, Vedat Suat (Academic Publication Council, 2012)In this paper, the approximate solution of avian-human influenza epidemic model is obtained by a reliable algorithm based on an adaptation of the standard variational iteration method (VIM), which is called the multi-stage ... -
A Multistage Variational Iteration Method for Solution of Delay Differential Equations
Gokdogan, Ahmet; Merdan, Mehmet; Erturk, Vedat Suat (Walter De Gruyter Gmbh, 2013)In this paper, the approximate solution of delay differential equations is obtained by a reliable algorithm based on an adaptation of the classical variational iteration method (VIM), which is called the multi-stage ... -
A New Approach Stereo Based Palmprint Extraction in Unrestricted Postures
Bingol, Ozkan; Ekinci, Murat; Gokdogan, Ahmet (IEEE, 2014)Regarding the palms recognition system studies, despite achieving a high success rate, hygiene problems in systems with contact and problems arising from changes in the alignment of the hand pose in non-contact ones have ... -
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 ... -
The operator method for local fractional linear differential equations
Unal, Emrah; Gokdogan, Ahmet; Cumhur, Ishak (Elsevier Gmbh, Urban & Fischer Verlag, 2017)In this work, we give the particular solution for nonhomogeneous sequential linear conformable fractional differential equations with constant coefficients by using the operator method. (C) 2016 Elsevier GmbH. All rights reserved. -
Solution of conformable fractional ordinary differential equations via differential transform method
Unal, Emrah; Gokdogan, Ahmet (Elsevier Gmbh, 2017)Recently, a new fractional derivative called the conformable fractional derivative is given which is based on the basic limit definition of the derivative in (Khalil et al., 2014). Then, the fractional versions of chain ... -
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 ... -
Solutions around a regular a singular point of a sequential conformable fractional differential equation
Unal, Emrah; Gokdogan, Ahmet; Celik, Ercan (Academic Publication Council, 2017)In this work, firstly, some concepts of conformable fractional calculus in literature are given. Secondly, definitions of alpha-analytic point, a-ordinary point and regular a singular point are presented. Finally, the ... -
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 ...
