مشخصات پژوهش

صفحه نخست /A pseudo-spectral scheme for ...
عنوان A pseudo-spectral scheme for the approximate solution of a family of fractional differential equations
نوع پژوهش مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها Caputo derivative,Fractional differential equations,Multi-term fractional differential equations,Jacobi polynomials,Fractional differentiation matrix
چکیده 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.
پژوهشگران شاهرخ اسمعیلی (نفر اول)، مصطفی شمسی (نفر دوم)