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

Table 1

Absolute errors using SJT method for 𝑁=14.

𝑥	𝛼	𝛽	SJT method	VIMHP	B-spline	VIM	ADM	ITM	HPM
	−12	−12	3.1⋅10^−15
0.0	0	0	2.0⋅10^−16	0.000	0.000	0.000	0.000	0.000	0.000
	12	12	9.1⋅10^−15
	−12	−12	1.9⋅10^−15
0.2	0	0	2.5⋅10^−16	2.0⋅10^−10	1.2⋅10^−3	2.0⋅10^−10	2.0⋅10^−10	2.0⋅10^−10	2.0⋅10^−10
	12	12	8.2⋅10^−15
	−12	−12	1.7⋅10^−16
0.4	0	0	1.6⋅10^−15	8.0⋅10^−10	3.0⋅10^−3	8.0⋅10^−10	8.0⋅10^−10	8.0⋅10^−10	8.0⋅10^−10
	12	12	5.4⋅10^−15
	−12	−12	3.5⋅10^−16
0.6	0	0	2.9⋅10^−15	2.0⋅10^−9	6.0⋅10^−3	2.0⋅10^−9	2.0⋅10^−9	2.0⋅10^−9	2.0⋅10^−9
	12	12	1.3⋅10^−15
	−12	−12	1.3⋅10^−15
0.8	0	0	4.3⋅10^−15	1.9⋅10^−9	9.0⋅10^−3	1.9⋅10^−9	1.9⋅10^−9	1.9⋅10^−9	1.9⋅10^−9
	12	12	2.7⋅10^−15
	−12	−12	3.5⋅10^−15
1.0	0	0	4.8⋅10^−15	0.000	0.000	0.000	0.000	0.000	0.000
	12	12	5.0⋅10^−15