The spectral iterative method for Solving Fractional-Order Logistic Equation
الموضوعات : مجله بین المللی ریاضیات صنعتی
A. Shoja‎
1
(Department of Mathematics, Science and Research Branches, Islamic Azad University, Tehran, Iran.)
E. Babolian
2
(Department of Mathematics, Science and Research Branches, Islamic Azad University, Tehran, Iran.)
A. R. Vahidi
3
(Department of Mathematics, Science and Research Branches, Islamic Azad University, Tehran, Iran.)
الکلمات المفتاحية: Adomian decomposition method, Iterative method (IM), Spectral method, Fractional logistic equation, Collocation method,
ملخص المقالة :
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}.
