A Numerical Approach to Solving an Inverse Heat Conduction Problem Using the Levenberg-Marquardt Algorithm

Table 3

Performance of the algorithm when it is run to solve the model using four different parameters guesses.

Starting point	0.1 0.1 0.1 0.1	0.5 0.5 0.5 0.5	1 1 1 1	2 2 2 2
	0.1 0.1 0.1 0.1	0.5 0.5 0.5 0.5	1 1 1 1	2 2 2 2
Iteration 20	1.01536263526644	1.01536263500695	1.01536263525763	1.01536263525905
	0.896348846894057	0.896348850692318	0.896348847022403	0.896348846999736
	0.954285303464511	0.954285278486704	0.954285302637587	0.954285302790922
	−0.890298938193057	−0.890298849338373	−0.890298935334171	−0.890298935876618
	1.40131927153131	1.40131909032315	1.40131926588117	1.40131926696099
	−0.871276408882294	−0.871276197318301	−0.871276402487896	−0.87127640370648
	0.183785623507722	0.183785492186491	0.18378561965322	0.183785620380814
	0.0359103726343979	0.0359104061952515	0.0359103735933848	0.0359103734148875
Error 𝐹	7.89749200363512×10^−11	7.89749200363504×10^−11	7.89749200353888×10^−11	7.8974920035389×10^−11