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- MakaleYalnız künye2012Coupling of homotopy perturbation, Laplace transform and Padé approximants for nonlinear oscillatory systems
Merdan, Mehmet; Yildirim, Ahmet; Gökdogan, Ahmet; Mohyud-Din, Syed Tauseef
In this article, homotopy perturbation method coupled with Laplace transform and Padé 0approximants is applied on the re-formulated nonlinear oscillatory systems. Numerical results and graphical represenations explicitly reveal the complete reliability and effeicincy of the suggested algorithm.
AtıfScopus1İncele - MakaleAçık Erişim2011Scopus SJRQ1On the numerical solution of the model for HIV infection of CD4+ T cells
Merdan, Mehmet; Gökdogan, Ahmet; Yildirim, Ahmet
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 modified VIM (MVIM), based on the use of Fade approximants is proposed. Some plots are presented to show the reliability and simplicity of the methods. (C) 2011 Elsevier Ltd. All rights reserved.
AtıfWoS66OpenAlex91İncele - MakaleAçık Erişim2011Scopus SJRQ2Solution of nonlinear oscillators with fractional nonlinearities by using the modified differential transformation method
Merdan, Mehmet; Gökdoǧan, Ahmet
In this paper, an aproximate analytical method called the differential transform method (DTM) is used as a tool to give approximate solutions of nonlinear oscillators with fractional nonlinearites. The differential transformation method is described in a nuthsell. DTM can simply be applied to linear or nonlinear problems and reduces the required computational effort. The proposed scheme is based on the differential transform method (DTM), Laplace transform and Padé approximants. The results to get the differential transformation method (DTM) are applied Padé approximants. The reliability of this method is investigated by comparison with the classical fourth-order Runge-Kutta (RK4) method and Cos-AT and Sine-AT method. Our the presented method showed results to analytical solutions of nonlinear ordinary differential equation. Some plots are gived to shows solutions of nonlinear oscillators with fractional nonlinearites for illustrating the accurately and simplicity of the methods.
AtıfScopus16OpenAlex21İncele - MakaleAçık Erişim2009Scopus SJRQ2Homotopy perturbation method for solving human T-Cell lymphotropic virus I(HTLV-I) infection of CD4+ T-Cells model
Merdan, Mehmet
In this article, homotopy perturbation method is implemented to give approximate and analytical solutions of nonlinear ordinary differential equation systems such as human T-cell lymphotropic virus I (HTLV-I) infection of CD4+ T-cells model. The proposed scheme is based on homotopy perturbation method (HPM), Laplace transform and Padé approximants. The results to get the homotopy perturbation method (HPM) is applied Padé approximants. Our proposed approach showed results to analytical solutions of nonlinear ordinary differential equation systems. Some plots arepresented to show the reliability and simplicity of the methods.
AtıfScopus3OpenAlex3İncele