Sürdürülebilir Kalkınma Amaçları

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• MakaleAçık Erişim2011/r/gumushane/15432
  Solution 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.

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• MakaleAçık Erişim2009/r/gumushane/15801
  Homotopy 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.

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