Spectral Shifted Jacobi Tau and Collocation Methods for Solving Fifth-Order Boundary Value Problems

Table 2

Absolute errors using SJC method for 𝑁=14.

𝑥	𝛼	𝛽	SJC method	VIMHP	B-spline	VIM	ADM	ITM	HPM
	−12	−12	7.0⋅10^−17
0.0	0	0	6.2⋅10^−17	0.000	0.000	0.000	0.000	0.000	0.000
	12	12	5.5⋅10^−17
	−12	−12	2.2⋅10^−16
0.2	0	0	2.2⋅10^−16	2.0⋅10^−9	7.2⋅10^−4	2.0⋅10^−9	2.0⋅10^−9	2.0⋅10^−9	2.0⋅10^−9
	12	12	2.2⋅10^−16
	−12	−12	0
0.4	0	0	2.2⋅10^−16	2.0⋅10^−8	4.6⋅10^−4	2.0⋅10^−8	2.0⋅10^−8	2.0⋅10^−8	2.0⋅10^−8
	12	12	4.4⋅10^−16
	−12	−12	2.2⋅10^−16
0.6	0	0	4.4⋅10^−16	3.7⋅10^−8	4.8⋅10^−4	3.7⋅10^−8	3.7⋅10^−8	3.7⋅10^−8	3.7⋅10^−8
	12	12	2.2⋅10^−16
	−12	−12	4.4⋅10^−16
0.8	0	0	4.4⋅10^−15	3.1⋅10^−8	3.1⋅10^−4	3.1⋅10^−8	3.1⋅10^−8	3.1⋅10^−8	3.1⋅10^−8
	12	12	4.4⋅10^−16
	−12	−12	8.8⋅10^−16
1.0	0	0	0	0.000	0.000	0.000	0.000	0.000	0.000
	12	12	0