Numerical Solution of a Class of Functional-Differential Equations Using Jacobi Pseudospectral Method

Table 2

Absolute errors using SJGLP method with various choices of 𝛼 and 𝛽 for Example 2.

𝑥	𝛼=𝛽=−1/2	𝛼=𝛽=1/2	𝛼=𝛽=0
0.0	4.13⋅10^−16	3.92⋅10^−16	1.11⋅10^−16
0.1	6.76⋅10^−10	1.29⋅10^−9	3.57⋅10^−10
0.2	5.01⋅10^−9	3.70⋅10^−9	5.86⋅10^−10
0.3	3.24⋅10^−9	9.52⋅10^−9	1.71⋅10^−9
0.4	4.14⋅10^−8	5.17⋅10^−7	2.16⋅10^−9
0.5	2.61⋅10^−8	2.88⋅10^−8	2.27⋅10^−9
1.0	3.72⋅10^−8	1.01⋅10^−8	2.13⋅10^−8
2.0	7.32⋅10^−8	3.89⋅10^−9	3.59⋅10^−8
3.0	2.19⋅10^−9	2.84⋅10^−8	1.85⋅10^−7
4.0	3.52⋅10^−7	7.78⋅10^−7	3.01⋅10^−7
5.0	3.73⋅10^−6	1.24⋅10^−6	1.80⋅10^−6
6.0	3.42⋅10^−6	2.97⋅10^−6	8.74⋅10^−6