The Backward Heat Conduction Problem With Variable Coefficients in a Spherical Domain

GENG Xiaoxiao; CHENG Hao

doi:10.21656/1000-0887.410297

Volume 42 Issue 7

Jul. 2021

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GENG Xiaoxiao, CHENG Hao. The Backward Heat Conduction Problem With Variable Coefficients in a Spherical Domain[J]. Applied Mathematics and Mechanics, 2021, 42(7): 723-734. doi: 10.21656/1000-0887.410297

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The Backward Heat Conduction Problem With Variable Coefficients in a Spherical Domain

doi: 10.21656/1000-0887.410297

GENG Xiaoxiao,
CHENG Hao^,

School of Science, Jiangnan University, Wuxi, Jiangsu 214122, P.R.China

Funds:

The National Natural Science Foundation of China(11426117)

Received Date: 2020-09-29

Abstract

Abstract

The backward heat conduction problem with variable coefficients in a spherical domain was considered. This problem is ill-posed, i.e., the solution (if it exists) to this problem does not depend continuously on the measured data. A projected iteration regularization method was constructed to obtain the regularized approximate solution to this inverse problem, and the convergence error estimates between the exact solution and the corresponding regularized approximate solution were given under the a priori and a posteriori parameter choice rules. Numerical results verify the effectiveness of this method.
- backward heat conduction problem,
- spherical domain,
- projected iteration regularization method,
- error estimate

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References(22)

References

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