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
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: | ISIKNOWLEDGE |
Description: | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION Volume: 23 Issue: 1-3 Pages: 89-114 Published: JUN 2015 |
URI: | http://repository.vnu.edu.vn/handle/VNU_123/29312 |
ISSN: | 1007-5704 |
Appears in Collections: | Bài báo của ĐHQGHN trong Web of Science |
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