مشخصات پژوهش

عنوان	On The Stable Implicit Finite Differences Approximation of Diffusion Equation With The Time Fractional Derivative Without Singular Kernel
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	Caputo–Fabrizio fractional derivatives; finite differences; diffusion equation; stability; convergence.
چکیده	In this paper, we give a numerical approximation to the Caputo–Fabrizio time fractional diffusion equation. The implicit finite differences method is applied to solve a timefractional diffusion equation with this new fractional derivative. We present the stability and convergence analysis of the proposed numerical scheme. Some numerical problems will be presented to show the accuracy and effectiveness of the method.
پژوهشگران	علیرضا محمدپور (نفر سوم)، افشین بابائی (نفر دوم)، علی تقوی (نفر اول)