On the axisymmetric backward heat equation with non-zero right hand side: Regularization and error estimates

作者：

Highlights：

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• An axisymmetric backward heat equation with non-zero right hand side is introduced.

• Using the modified quasi-boundary value to regularize the inhomogeneous problem and to get some error estimates.

• Provides numerical examples to illustrate the efficiency of our method for both deterministic and random error cases.

摘要

•An axisymmetric backward heat equation with non-zero right hand side is introduced.•Using the modified quasi-boundary value to regularize the inhomogeneous problem and to get some error estimates.•Provides numerical examples to illustrate the efficiency of our method for both deterministic and random error cases.

论文关键词：Axisymmetric inverse heat problem,Ill-posed problem,Nonhomogeneous heat,Error estimates

论文评审过程：Received 4 February 2016, Revised 9 September 2017, Available online 7 December 2017, Version of Record 1 January 2018.

论文官网地址：https://doi.org/10.1016/j.cam.2017.11.036