Two Legendre-Dual-Petrov-Galerkin Algorithms for Solving the Integrated Forms of High Odd-Order Boundary Value Problems

Table 6

Error 𝐸 for Example 3 with 𝑁=16.

𝑥	LDPG—1st choice	LDPG—2nd choice	Method in Wazwaz [27]
0.0	0.000000	0.000000	0.000000
0.1	2.22045×10^−16	2.22045×10^−16	2.0×10^−10
0.2	1.11022×10^−16	1.11022×10^−16	2.0×10^−10
0.3	1.11022×10^−16	1.11022×10^−16	2.0×10^−10
0.4	1.11022×10^−16	1.11022×10^−16	2.0×10^−10
0.5	1.11022×10^−16	0.000000	2.0×10^−10
0.6	1.11022×10^−16	1.11022×10^−16	6.0×10^−10
0.7	1.11022×10^−16	0.000000	1.0×10^−9
0.8	0.000000	1.11022×10^−16	2.0×10^−9
0.9	0.000000	0.000000	3.4×10^−9
0.1	2.22045×10^−16	2.22045×10^−16	0.000000