A Discretized Tikhonov Regularization Method for a Fractional Backward Heat Conduction Problem

Table 2

Example 1: the relative errors with 𝑡₀=1𝑒−10, 𝑁=59, and 𝜖=0%.

𝐽	𝑚
	19	29	39	49	59	69
5	3.3721𝑒−3	3.4356𝑒−3	3.3769𝑒−3	3.3737𝑒−3	3.4008𝑒−3	3.3724𝑒−3
10	1.0725𝑒−3	1.5791𝑒−3	9.9642𝑒−4	9.9488𝑒−4	9.9616𝑒−4	9.9901𝑒−4
15	6.1811𝑒−4	3.4322𝑒−4	5.7376𝑒−4	3.2938𝑒−4	3.2952𝑒−4	3.3259𝑒−4
20	5.0304𝑒−3	3.5813𝑒−4	8.9305𝑒−4	4.7205𝑒−4	9.8808𝑒−4	5.4753𝑒−4
25	3.7310𝑒−3	4.3286𝑒−4	2.1742𝑒−4	1.5605𝑒−4	1.5743𝑒−4	1.5375𝑒−4
30	5.9706𝑒−3	2.6680𝑒−3	1.6015𝑒−4	1.5884𝑒−4	2.0451𝑒−4	1.3825𝑒−4