Yazar "Merdan, Mehmet" için Scopus İndeksli Yayınlar Koleksiyonu 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 ... -
An approximate solution of a model for HIV infection of CD4+ T cells
Merdan, Mehmet; Gökdoğan, Ahmet; Ertürk, Vedat Suat (Shiraz University, 2011)In this paper, the approximate solution of the differential system modeling HIV infection of CD4+ T cells is obtained by a reliable algorithm based on an adaptation of the standard variational iteration method (VIM), which ... -
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, ... -
Comparison of stochastic and random models for bacterial resistance
Merdan, Mehmet; Bekiryazici, Zafer; Kesemen, Tulay; Khaniyev, Tahir (Springer International Publishing Ag, 2017)In this study, a mathematical model of bacterial resistance considering the immune system response and antibiotic therapy is examined under random conditions. A random model consisting of random differential equations is ... -
Deterministic stability and random behavior of a Hepatitis C model
Merdan, Mehmet; Bekiryazici, Zafer; Kesemen, Tulay; Khanlyev, Tahir (Public Library Science, 2017)The deterministic stability of a model of Hepatitis C which includes a term defining the effect of immune system is studied on both local and global scales. Random effect is added to the model to investigate the random ... -
Generalized Beta Parameters for a SVEIR-Type Random Model of Polio Transmission
Bekiryazici, Zafer; Merdan, Mehmet; Kesemen, Tulay (Amer Inst Physics, 2018)In this study, a SVEIR-type compartmental model of Poliomyelitis transmission is examined under random effects. We introduce Generalized Beta and normal distributed random parameters into the equation system to investigate ... -
Investigation of Behavior on Solutions of Lane-Emden Complex Differential Equations by a Random Differential Transformation Method
Merdan, Mehmet; Merdan, Merve; Şahin, Ridvan (Hindawi Limited, 2023)In this study, Lane-Emden complex differential equations have been randomized by selecting random variables for the coefficients, initial conditions, and force functions of complex differential equations. In addition, by ... -
Investigation of linear difference equations with random effects
Merdan, Mehmet; Sisman, Seyma (Springer, 2020)In this study, random linear difference equations obtained by transforming the components of deterministic difference equations to random variables are investigated. Uniform, Bernoulli, binomial, negative binomial (or ... -
MODELING DISEASE TRANSMISSION DYNAMICS WITH RANDOM DATA AND HEAVY TAILED RANDOM EFFECTS: THE ZIKA CASE
Bekiryazici, Zafer; Kesemen, Tülay; Merdan, Mehmet; Khaniyev, Tahir A. (Isik University, 2023)In this study, we investigate a compartmental model of Zika Virus transmission under random effects. Random effects enable the analysis of random numerical characteristics of transmission, which cannot be modeled through ... -
A MODIFICATION OF APPROXIMATE RANDOM CHARACTERISTICS FOR A MODEL OF ZIKA VIRUS TRANSMISSION
Bekiryazici, Zafer; Kesemen, Tulay; Merdan, Mehmet; Khaniyev, Tahir (Serbian Society of Heat Transfer Engineers, 2022)In this study, a theoretical model of Zika virus transmission is investigated with random parameters. The parameters of a deterministic model are transformed to random variables to obtain a system of random differential ... -
Modification of the random differential transformation method and its applications to compartmental models
Bekiryazici, Zafer; Merdan, Mehmet; Kesemen, Tulay (Taylor & Francis Inc, 2021)In this study, a modification of the random differential transformation method is given by using Laplace-Pade method. The modification, which has previously been introduced for the deterministic differential transformation ... -
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 ... -
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 numeric-analytic method for time-fractional Swift-Hohenberg (S-H) equation with modified Riemann-Liouville derivative
Merdan, Mehmet (Elsevier Science Inc, 2013)In this paper, the fractional variational iteration method (FVIM) was applied to obtain the approximate solutions of time-fractional Swift-Hohenberg (S-H) equation with modified Riemann-Liouville derivative. A new application ... -
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 the fractional-order Vallis systems using multi-step differential transformation method
Merdan, Mehmet (Elsevier Science Inc, 2013)In this paper, we examine a fractional order Vallis systems. We also fulfil a detailed analysis on the stability of equilibrium. Multi-step differential transform method (MsDTM) extends to give approximate and analytical ... -
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. ...