عنوان
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A pseudo-spectral scheme for the approximate solution of a family of fractional differential equations
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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Caputo derivative,Fractional differential equations,Multi-term fractional differential equations,Jacobi polynomials,Fractional differentiation matrix
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چکیده
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In this paper, the pseudo-spectral method is generalized for solving fractional differential equations with initial conditions. For this purpose, an appropriate representation of the solution is presented and the pseudo-spectral differentiation matrix of fractional order is derived. Then, by using pseudo-spectral scheme, the problem is reduced to the solution of a system of algebraic equations. Through several numerical examples, we evaluate the accuracy and performance of our proposed method.
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پژوهشگران
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شاهرخ اسمعیلی (نفر اول)، مصطفی شمسی (نفر دوم)
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