An Efficient Collocation Method for a Class of Boundary Value Problems Arising in Mathematical Physics and Geometry

Table 4

Absolute residual error functions for 𝑛=3,𝜆=4/3.

𝑟	𝛼=𝛽=−1/2	𝛼=𝛽=0	𝛼=𝛽=1/2	𝛼=𝛽=−1/2	𝛼=𝛽=0	𝛼=𝛽=1/2
	(𝑁=16)			(𝑁=24)
0.0	2.48⋅10^−12	9.03⋅10^−12	2.18⋅10^−11	1.21⋅10^−14	5.34⋅10^−15	9.36⋅10^−15
0.1	1.85⋅10^−12	2.44⋅10^−12	2.47⋅10^−12	2.22⋅10^−16	1.55⋅10^−15	1.33⋅10^−15
0.2	2.15⋅10^−12	9.67⋅10^−13	1.20⋅10^−12	1.77⋅10^−15	2.44⋅10^−15	2.66⋅10^−15
0.3	3.73⋅10^−12	2.54⋅10^−12	1.66⋅10^−12	4.44⋅10^−16	6.66⋅10^−16	1.55⋅10^−15
0.4	4.62⋅10^−12	3.28⋅10^−12	2.34⋅10^−12	1.33⋅10^−15	2.22⋅10^−16	8.88⋅10^−16
0.5	5.61⋅10^−12	4.00⋅10^−12	2.90⋅10^−12	4.44⋅10^−16	2.22⋅10^−16	1.77⋅10^−15
0.6	7.00⋅10^−12	4.99⋅10^−12	3.57⋅10^−12	4.44⋅10^−16	1.33⋅10^−15	1.55⋅10^−15
0.7	8.92⋅10^−12	6.09⋅10^−12	4.01⋅10^−12	4.44⋅10^−16	0	0
0.8	8.96⋅10^−12	4.06⋅10^−12	5.12⋅10^−13	8.88⋅10^−16	4.44⋅10^−16	6.66⋅10^−16
0.9	1.78⋅10^−11	2.40⋅10^−11	2.50⋅10^−11	0	0	8.88⋅10^−16
1.0	1.10⋅10^−9	1.80⋅10^−9	2.69⋅10^−9	8.54⋅10^−15	8.72⋅10^−14	6.07⋅10^−14