مشخصات پژوهش

عنوان	A Novel Approach for Solving an Inverse Reaction–Diffusion–Convection Problem
نوع پژوهش	مقاله چاپ شده
کلیدواژه‌ها	Inverse problem, Reaction–diffusion–convection equation, Sixth-kind Chebyshev polynomials, Collocation method, Mollification, Error estimate
چکیده	In this paper, we consider an inverse reaction–diffusion–convection problem in which one of the boundary conditions is unknown. A sixth-kind Chebyshev collocation method will be proposed to solve numerically this problem and to obtain the unknown boundary function. Since this inverse problem is generally ill-posed, to find an optimal stable solution, we will utilize a regularization method based on the mollification technique with the generalized cross-validation criterion. The error estimate of the numerical solution is investigated. Finally, to authenticate the validity and effectiveness of the proposed algorithm, some numerical test problems are presented.
پژوهشگران	صدیقه بنی هاشمی (نفر سوم)، افشین بابائی (نفر دوم)، حسین جعفری (نفر اول)