Holder stability for a class of initial inverse nonlinear heat problem in multiple dimension
Nguyen, Huy Tuan Bui, Thanh Duy Nguyen, Dang Minh Vo, Anh Khoa We consider an inverse heat conduction problem for the non-linear heat equation which appears in some applied subjects. The problem is severely ill-posed. Using some modified regularization method, we establish a regularized solution which gives error estimate of Holder type for all t is an element of [0, T]. Some numerical examples show that the computational effect of these methods are all satisfactory. Chi tiết xin mời tham khảo tại http://repository.vnu.edu.vn/handle/VNU_123/29312 Title: Holder stability for a class of initial inverse nonlinear heat problem in multiple dimension Authors: Nguyen, Huy Tuan Bui, Thanh Duy Nguyen, Dang Minh Vo, Anh Khoa) Keywords: Backward heat problem;Nonlinearly ill-posed problem;Quasi-boundary value methods;Quasi-reversibility methods Issue Date: 2015 Publisher: ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS Citation:...