Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 3 Error estimates between the exact and regularized solutions for \(\tau = 1.8\), \(\alpha \in \{0.52, 0.62, 0.72, 0.82, 0.92\}\)

From: Identification of source term for the ill-posed Rayleigh–Stokes problem by Tikhonov regularization method

α	\(\mathit{Err}^{\beta _{\mathrm{pri}}}\)	\(\mathit{Err}^{\beta _{\mathrm{pos}}}\)
	ϵ = 0.0001
0.52	0.077602462311104	0.077544342977239
0.62	0.047271805697450	0.047192018901400
0.72	0.028296574111022	0.028307819519103
0.82	0.016920298564528	0.016962577259079
0.92	0.010151270279964	0.010110524205060
	ϵ = 0.00001
0.52	0.077472454648553	0.077480496522115
0.62	0.047159886813125	0.047166399068891
0.72	0.028302374036182	0.028294614661429
0.82	0.016904097025631	0.016899494878404
0.92	0.010096298360581	0.010097434555097

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