By solving an inverse heat conduction problem, one numerical method is developed about how to rebuild inner wall
temperature of the heated pipeliner. A finite-difference method is used to discretize the governing equations and then a
linear inverse model is constructed to identify the unknown boundary conditions. The present approach is to rearrange
the order of the governing differential equations and estimate the unknown boundary conditions. The results show that
the calculation result by the method is very nicety, even when measurement errors are considered.
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