Moving Least Squares Method for a One-Dimensional Parabolic Inverse Problem

Table 1

The errors for different Δ𝑥 and Δ𝑡.

Δ𝑡	Δ𝑥=0.5		Δ𝑥=0.1
	𝐸𝑢	𝐸𝑓	𝐸𝑢	𝐸𝑓
0.01	1.1428×10^−2	6.1902×10^−3	3.0506×10^−3	3.0599×10^−3
0.005	1.0569×10^−2	4.1804×10^−3	1.5394×10^−3	1.5832×10^−3
0.001	9.9744×10^−3	1.8376×10^−3	3.4687×10^−4	4.1021×10^−4
0.0005	9.9068×10^−3	1.2985×10^−3	2.1206×10^−4	2.5863×10^−4
0.0001	9.8539×10^−3	5.8058×10^−4	1.3264×10^−4	1.0545×10^−4