the spectral iterative method for solving fractional-order logistic ‎equation

Authors

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. a. r. vahidi

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:
international journal of industrial mathematics

جلد ۸، شماره ۳، صفحات ۲۱۵-۲۲۳

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