A modified sequential approach for solving inverse heat conduction problems

A modified sequential approach is proposed to improve the performance of the sequential function specification method for inverse heat conduction problems (IHCPs). There are two essential procedures in this study: the first, derives the sequential algorithm and then performs the preliminary estimation; the second, also a key finding in this study, proposes the modified algorithm to eliminate the leading error caused by adding the use of future information in the process of preliminary estimation. One example in this study for solving the unknown source, the proposed method effectively reduces the average relative error from 17.82% to 2.65% when a 10% random measurement error is considered.