Inverse Estimates for Nonhomogeneous Backward Heat Problems

Table 5

𝑇=1, the analytical and numerical results for the 𝑓(𝑥_𝑗) in 𝑥_𝑗=0.1𝑗, where 𝛿=0.

𝑗	Exact 𝑓(𝑥𝑗)	Numerical 𝑓(𝑥𝑗)	|𝑓(𝑥𝑗)−𝑓(𝑥𝑗)|
1	0.309016994374947	0.309019506872923	2.51249797578179×10^−6
2	0.587785252292473	0.587790008583465	4.75629099216945×10^−6
3	0.809016994374947	0.809023584278051	6.58990310320462×10^−6
4	0.951056516295154	0.951064106758891	7.59046373755012×10^−6
5	1	1.00000810910255	8.10910254811503×10^−6
6	0.951056516295154	0.951064262563094	7.74626794020072×10^−6
7	0.809016994374947	0.809023549839842	6.5554648942534×10^−6
8	0.587785252292473	0.587789998909465	4.74661699212398×10^−6
9	0.309016994374948	0.309019477607716	2.48323276808016×10^−6
10	1.22464679914735×10^−16	6.12328388409843×10^−17	6.1231841073751×10^−17