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

Table 5

The errors for different Δ𝑥, Δ𝑡 and noisy parameter.

	FDM	MLS
Δ𝑥=0.5, Δ𝑡=0.01, 𝛾=0	3.4720×10^−2	9.0561×10^−3
Δ𝑥=0.5, Δ𝑡=0.001, 𝛾=0	3.4877×10^−3	9.0857×10^−4
Δ𝑥=0.1, Δ𝑡=0.01, 𝛾=0	3.4720×10^−2	6.4498×10^−3
Δ𝑥=0.1, Δ𝑡=0.001, 𝛾=0	3.4877×10^−3	6.4677×10^−4
Δ𝑥=0.5, Δ𝑡=0.01, 𝛾=0.001	3.5700×10^−2	9.5460×10^−3
Δ𝑥=0.5, Δ𝑡=0.001, 𝛾=0.001	7.3814×10^−3	1.4210×10^−3
Δ𝑥=0.1, Δ𝑡=0.01, 𝛾=0.001	3.5691×10^−2	6.7775×10^−3
Δ𝑥=0.1, Δ𝑡=0.001, 𝛾=0.001	7.2994×10^−3	9.9116×10^−4
Δ𝑥=0.5, Δ𝑡=0.01, 𝑞=0.001	2.5285×10^−1	8.9877×10^−3
Δ𝑥=0.5, Δ𝑡=0.001, 𝑞=0.001	2.4914×10^0	9.7315×10^−4
Δ𝑥=0.1, Δ𝑡=0.01, 𝑞=0.001	2.5354×10^−1	6.4462×10^−3
Δ𝑥=0.1, Δ𝑡=0.001, 𝑞=0.001	2.5664×10^0	6.7999×10^−4