Hölder stability for a class of initial inverse nonlinear heat problem in multiple dimension

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 [setmembership...

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Bibliographic Details
Published inCommunications in nonlinear science & numerical simulation Vol. 23; no. 1-3; pp. 89 - 114
Main Authors Tuan, Nguyen Huy, Duy, Bui Thanh, Minh, Nguyen Dang, Khoa, Vo Anh
Format Journal Article
LanguageEnglish
Published 01.06.2015
Subjects
Computer simulation
Conduction
Heat conduction
Heat equations
Inverse
Mathematical models
Nonlinearity
Regularization
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ISSN1007-5704
DOI10.1016/j.cnsns.2014.10.027

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Summary: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 [setmembership] [0, T]. Some numerical examples show that the computational effect of these methods are all satisfactory.
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content type line 23
ISSN:1007-5704
DOI:10.1016/j.cnsns.2014.10.027