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A modified method for a non-standard inverse heat conduction problem. (English) Zbl 1105.65097
A fourth-order perturbation method is developed for the solution of the linear inverse heat-convection-conduction problem. It is concluded that the proposed method works well for problems with small measurement error, while for problems with higher error levels, the results are less encouraging.

65M32 Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs
35K05 Heat equation
35R30 Inverse problems for PDEs
65M15 Error bounds for initial value and initial-boundary value problems involving PDEs
Full Text: DOI
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