Laguerre Collocation Method for Solving Fredholm Integro-Differential Equations with Functional Arguments

Table 4

Comparison of the actual and estimated absolute errors for 𝑁=8,10,18 and 𝑀=10,12,22 of Example 2.

The actual absolute and estimated absolute errors
𝑥	𝐸8	𝐸8,10	𝐸10	𝐸10,12	𝐸18	𝐸18,22
0.0	0.67000𝐸−15	0.34000𝐸−13	0.12300𝐸−12	0.82600𝐸−11	0.33307𝐸−08	0.10950𝐸−09
0.1	0.22193𝐸−02	0.10221𝐸−02	0.39880𝐸−04	0.89756𝐸−03	0.36289𝐸−03	0.12021𝐸−02
0.2	0.95897𝐸−02	0.45169𝐸−02	0.26746𝐸−04	0.36009𝐸−02	0.18489𝐸−03	0.42936𝐸−02
0.3	0.22995𝐸−01	0.11062𝐸−01	0.22276𝐸−03	0.80900𝐸−02	0.23027𝐸−02	0.86169𝐸−02
0.4	0.43109𝐸−01	0.21157𝐸−01	0.87128𝐸−03	0.14315𝐸−01	0.86922𝐸−02	0.13641𝐸−01
0.5	0.70446𝐸−01	0.35235𝐸−01	0.20625𝐸−02	0.22214𝐸−01	0.20407𝐸−01	0.18937𝐸−01
0.6	0.10540𝐸−01	0.53674𝐸−01	0.39232𝐸−02	0.31717𝐸−01	0.38716𝐸−01	0.24149𝐸−01
0.7	0.14829𝐸−01	0.76799𝐸−01	0.65657𝐸−02	0.42756𝐸−01	0.64748𝐸−01	0.28989𝐸−01
0.8	0.19939𝐸−01	0.10489𝐸−01	0.10089𝐸−01	0.55265𝐸−01	0.99505𝐸−01	0.33212𝐸−01
0.9	0.25889𝐸−01	0.13821𝐸−01	0.14583𝐸−01	0.69182𝐸−01	0.14389𝐸−01	0.36613𝐸−01
1.0	0.32697𝐸−01	0.17696𝐸−01	0.20124𝐸−01	0.84448𝐸−01	0.19867𝐸−01	0.39016𝐸−01