A Meshless Method for the Numerical Solution of a Two-Dimension IHCP

Table 3

The comparison between the exact, Tikhonov, SVD, and GA-RBFs solution for 𝑔₀(𝑦,0.04) with noisy data (𝛿=0.01) for Example  1.

𝑦	Exact	Tikhonov 0	Tikhonov 1	Tikhonov 2	SVD	GA-RBFs	GA-RBFs
						(𝑁=𝑀=𝑆=5)	(𝑁=11,𝑀=𝑆=8)
0.1	0.955989	0.989553	0.959390	0.958599	0.989560	0.956861	0.955980
0.2	0.941638	0.971284	0.940893	0.940179	0.971291	0.941096	0.941640
0.3	0.917877	0.945030	0.914534	0.913948	0.945037	0.919012	0.917873
0.4	0.884946	0.910791	0.880313	0.879905	0.910798	0.880111	0.884940
0.5	0.843172	0.868567	0.838231	0.838050	0.868575	0.843935	0.843171
0.6	0.792974	0.818358	0.788287	0.788384	0.818366	0.793001	0.792979
0.7	0.734852	0.760165	0.730482	0.730907	0.760172	0.735098	0.734855
0.8	0.669388	0.693986	0.664816	0.665618	0.693994	0.669153	0.669390
0.9	0.597236	0.619823	0.591288	0.592518	0.619830	0.597291	0.597938