Research Article
Effect of Heat Source and Imperfect Contact on Simultaneous Estimation of Thermal Properties of High-Conductivity Materials
Table 1
Comparison of the first ten calculated
and exact
eigenvalues for the X62 case.
| | | ā | | | (initial guess) | (after 1 iteration) | (after 2 iterations) | (exact) |
| 1 | 1.195476244024383 | 1.207792438624699 | 1.207792655153241 | 1.207792655153241 | 2 | 3.486925937947245 | 3.448242071207367 | 3.448237983351985 | 3.448237983351985 | 3 | 6.468623593104900 | 6.440956097445878 | 6.440954447908016 | 6.440954447908016 | 4 | 9.550944741970163 | 9.530477847514561 | 9.530477156207574 | 9.530477156207574 | 5 | 12.662238896069196 | 12.645779030853410 | 12.645778666218552 | 12.645778666218552 | 6 | 15.785462794465527 | 15.771538985089661 | 15.771538762863299 | 15.771538762863299 | 7 | 18.914707557510582 | 18.902557753172037 | 18.902557604969395 | 18.902557604969395 | 8 | 22.047411709862786 | 22.036590088566303 | 22.036589983609232 | 22.036589983609232 | 9 | 25.182288796593070 | 25.172508998808841 | 25.172508921226136 | 25.172508921226136 | 10 | 28.318621989478178 | 28.309686934070488 | 28.309686874845468 | 28.309686874845468 |
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