Research Article
A Numerical Approach to Solving an Inverse Heat Conduction Problem Using the Levenberg-Marquardt Algorithm
Table 4
The values of
and
in
with all the initial values being set to 1.
| | Numerical | Exact | Numerical | Exact | | | | |
| | 0 | 1.01536263525763 | 1 | 0.303342962644088 | 0.303265329856317 | | 1 | 1.11378168059013 | 1.10517091807565 | 0.329201964677126 | 0.329286981656416 | | 2 | 1.22765694959399 | 1.22140275816017 | 0.347492882224886 | 0.347609712653987 | | 3 | 1.35549021305874 | 1.349858807576 | 0.359347568702678 | 0.359463171293777 | | 4 | 1.4973722149265 | 1.49182469764127 | 0.365808711321159 | 0.365912693766539 | | 5 | 1.65432828415206 | 1.64872127070013 | 0.367792378208857 | 0.367879441171442 | | 6 | 1.82785056869393 | 1.82211880039051 | 0.366091218454182 | 0.366158192067887 | | 7 | 2.01963499046464 | 2.01375270747048 | 0.361387761473796 | 0.361433054294643 | | 8 | 2.23154102006879 | 2.22554092849247 | 0.354267869273063 | 0.354291330944216 | | 9 | 2.46579237015687 | 2.45960311115695 | 0.345233023618059 | 0.345235749518249 | | 10 | 2.72543670622333 | 2.71828182845905 | 0.334712604803175 | 0.334695240222645 |
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