The spectral iterative method for Solving Fractional-Order Logistic ‎Equation

Authors

  • A. R. Vahidi Department of Mathematics‎, ‎Science and Research Branches‎, ‎Islamic Azad University‎, ‎Tehran‎, ‎Iran.
  • A. Shoja‎ Department of Mathematics‎, ‎Science and Research Branches‎, ‎Islamic Azad University‎, ‎Tehran‎, ‎Iran.
  • E. Babolian Department of Mathematics‎, ‎Science and Research Branches‎, ‎Islamic Azad University‎, ‎Tehran‎, ‎Iran.
Abstract:

In this paper, a new spectral-iterative method is employed to give approximate solutions of fractional logistic differential equation. This approach is based on combination of two different methods, i.e. the iterative method cite{35} and the spectral method. The method reduces the differential equation to systems of linear algebraic equations and then the resulting systems are solved by a numerical method. The solutions obtained are compared with Adomian decomposition method and iterative method used in cite{35‎} and Adams method cite{36}.‎

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Journal title

volume 8  issue 3

pages  215- 223

publication date 2016-08-01

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