مشخصات پژوهش

عنوان	Numerical solution of a time-fractional inverse source problem
نوع پژوهش	مقاله ارائه شده
کلیدواژه‌ها	Ill-posed problem, Caputo's fractional derivative, Mollification, Marching scheme.
چکیده	In this paper, an inverse problem of determining an unknown source term in a time-fractional diffusion equation is investigated. This inverse problem is severely ill-posed. For this reason, a mollification technique is used to obtain a regularized problem. Afterwards, a finite difference marching scheme is introduced to solve this regul arized problem. The stability of numerical solution are investigated. Finally, two numerical examples are presented to illustrate the validity an d effectiveness of the proposed method.
پژوهشگران	صدیقه بنی هاشمی (نفر دوم)، افشین بابائی (نفر اول)