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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| Published in | Communications in nonlinear science & numerical simulation Vol. 23; no. 1-3; pp. 89 - 114 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
01.06.2015
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| Online Access | Get full text |
| ISSN | 1007-5704 |
| DOI | 10.1016/j.cnsns.2014.10.027 |
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| Abstract | 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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| AbstractList | 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. |
| Author | Tuan, Nguyen Huy Minh, Nguyen Dang Duy, Bui Thanh Khoa, Vo Anh |
| Author_xml | – sequence: 1 givenname: Nguyen Huy surname: Tuan fullname: Tuan, Nguyen Huy – sequence: 2 givenname: Bui Thanh surname: Duy fullname: Duy, Bui Thanh – sequence: 3 givenname: Nguyen Dang surname: Minh fullname: Minh, Nguyen Dang – sequence: 4 givenname: Vo Anh surname: Khoa fullname: Khoa, Vo Anh |
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| SubjectTerms | Computer simulation Conduction Heat conduction Heat equations Inverse Mathematical models Nonlinearity Regularization |
| Title | Hölder stability for a class of initial inverse nonlinear heat problem in multiple dimension |
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