Simultaneous Determination of the Space-Dependent Source and the Initial Distribution in a Heat Equation by Regularizing Fourier Coefficients of the Given Measurements

Table 3

Numerical results of Example 1 with different final time values.

a priori selection strategy	1.0	1.5	7.3143e-05	1.7461e-03	2.3633e-03
	2.0	2.5	7.8949e-05	4.4939e-03	3.1173e-02
	3.0	3.5	8.1085e-05	1.1924e-02	2.6646e-01
	0.5	5.0	8.2050e-05	3.2691e-02	4.0627e-02
	1.0	5.0	8.2050e-05	3.2922e-02	1.0862e-01
	3.5	5.0	8.2050e-05	3.9430e-02	2.0275e+00
	5.0	6.0	8.2226e-05	1.1243e-01	2.3531e+01
a posteriori selection strategy	1.0	1.5		5262e-03	2.2503e-03
	2.0	2.5		1.2060e-03	3.4426e-02
	3.0	3.5		1.5073e-03	1.0573e-01
	0.5	5.0		1.1903e-03	2.4252e-02
	1.0	5.0		1.1958e-03	4.8508e-02
	3.5	5.0		1.3532e-03	4.2210e-01
	5.0	6.0		1.1297e-03	1.7172e+00