مشخصات پژوهش

عنوان	A pseudo-spectral scheme for the approximate solution of a time-fractional diffusion equation
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	fractional derivatives; time-fractional diffusion equations; spectral methods; differentiation matrix; matrix functions
چکیده	We consider an initial-boundary-value problem for a time-fractional diffusion equation with initial condition $u_0(x)$ and homogeneous Dirichlet boundary conditions in a bounded interval $[0, L]$. We study a semidiscrete approximation scheme based on the pseudo-spectral method on Chebyshev–Gauss–Lobatto nodes. In order to preserve the high accuracy of the spectral approximation we use an approach based on the evaluation of the Mittag-Leffler function on matrix arguments for the integration along the time variable. Some examples are presented and numerical experiments illustrate the effectiveness of the proposed approach.
پژوهشگران	روبرتو گاراپا (نفر دوم)، شاهرخ اسمعیلی (نفر اول)