مشخصات پژوهش

عنوان	Reconstructing unknown nonlinear boundary conditions in a time-fractional inverse reaction–diffusion–convection problem
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	Caputo’s fractional derivative, inverse problem, marching scheme, mollification, time-fractional reaction–diffusion– convection equation
چکیده	This paper has focused on unknown functions identification in nonlinear boundary conditions of an inverse problem of a time-fractional reaction–diffusion–convection equation. This inverse problem is generally ill-posed in the sense of stability, that is, the solution of problem does not depend continuously on the input data. Thus, a combination of the mollification regularization method with Gauss kernel and a finite difference marching scheme will be introduced to solve this problem. The generalized cross-validation choice rule is applied to find a suitable regularization parameter. The stability and convergence of the numerical method are investigated. Finally, two numerical examples are provided to test the effectiveness and validity of the proposed approach.
پژوهشگران	صدیقه بنی هاشمی (نفر دوم)، افشین بابائی (نفر اول)