Variational iteration and homotopy perturbation method for solving Lorenz system

Yıl 2009, Cilt: 11 Sayı: 1, 3 - 14, 01.06.2009

Mehmet Merdan

Öz

In this paper, homotopy perturbation method and variational iteration method are implemented to give approximate and analytical solutions of nonlinear ordinary differential equation systems such as Lorenz system. Homotopy perturbation is compared the variational iteration method for Lorenz system. The variational iteration method is predominant than the other non-linear methods, such as perturbation method. The main property of the VIM method is in its flexibility and ability to solve nonlinear equations accurately and conveniently. In this method, in general Lagrange multipliers are constructed by correction functionals for the systems. Multipliers can be identified by the variational theory. Some plots are presented to compare of the VIM and HPM

Anahtar Kelimeler

Variational iteration method, Homotopy perturbation method, Lorenz system

Kaynakça

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