Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 1 Numerical results for different ε under an a posteriori choice rule for three regularization methods about Examples 1

From: A posteriori truncated regularization method for identifying unknown heat source on a spherical symmetric domain

	ε	0.05	0.01	0.005	0.001	0.0005	0.0001
Truncate	\(e_{a}\)	0.0697	0.0376	0.0243	0.0118	0.0082	0.0035
Truncate	\(e_{r}\)	0.0593	0.0320	0.0207	0.0101	0.0070	0.0030
Tikhonov	\(e_{a}\)	0.1024	0.0407	0.0277	0.0152	0.0065	0.0034
Tikhonov	\(e_{r}\)	0.0871	0.0346	0.0236	0.0129	0.0056	0.0029
Quasi-boundary	\(e_{a}\)	0.6363	0.1518	0.0437	0.0160	0.0107	0.0043
Quasi-boundary	\(e_{r}\)	0.5414	0.1291	0.0372	0.0136	0.0091	0.0037

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