Research Article
A Numerical Approach to Solving an Inverse Heat Conduction Problem Using the Levenberg-Marquardt Algorithm
Table 2
The values of
and
in
with all the initial values being set to 1.
| | Numerical | Exact | Numerical | Exact | | | | |
| | 0 | 0.999729028233183 | 1 | 0 | 0 | | 1 | 1.05223771450306 | 1.0525 | 0.0605593190239173 | 0.0605520280601669 | | 2 | 1.10978659802209 | 1.11 | 0.120511797611786 | 0.120499040271796 | | 3 | 1.17237567879026 | 1.1725 | 0.179257059078521 | 0.179242065904716 | | 4 | 1.24000495680758 | 1.24 | 0.236207449080344 | 0.236194164064666 | | 5 | 1.31267443207404 | 1.3125 | 0.290793943250869 | 0.290786288212692 | | 6 | 1.39038410458965 | 1.39 | 0.342471828361625 | 0.342472971890064 | | 7 | 1.47313397435441 | 1.4725 | 0.390726114897089 | 0.390737778838824 | | 8 | 1.56092404136831 | 1.56 | 0.435076630410587 | 0.435098463062163 | | 9 | 1.65375430563136 | 1.6525 | 0.475082717530532 | 0.475111787267016 | | 10 | 1.75162476714355 | 1.75 | 0.510347406713368 | 0.510377951544573 |
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