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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.

MSC:
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
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