An Adaptive Pseudospectral Method for Fractional Order Boundary Value Problems

Table 6

Comparison of absolute errors for Example 3.4.

α		𝑥=0.1	𝑥=0.3	𝑥=0.5	𝑥=0.7	𝑥=0.9
1.1	Present method	2.7×10^−10	5.0×10^−10	2.1×10^−9	6.4×10^−10	1.3×10^−9
	Method [16]	2.9×10^−4	6.0×10^−3	8.4×10^−3	5.8×10^−3	3.4×10^−3
1.3	Present method	2.6×10^−9	9.0×10^−9	2.4×10^−8	1.5×10^−8	9.4×10^−9
	Method [16]	2.0×10^−4	3.0×10^−3	4.5×10^−3	3.0×10^−3	4.0×10^−3
1.5	Present method	6.3×10^−9	3.8×10^−8	1.0×10^−7	7.9×10^−8	2.9×10^−8
	Method [16]	9.7×10^−5	1.5×10^−3	2.4×10^−3	1.5×10^−3	4.7×10^−3
1.7	Present method	3.1×10^−8	1.6×10^−8	2.0×10^−7	1.8×10^−7	7.9×10^−8
	Method [16]	4.8×10^−5	7.5×10^−4	1.3×10^−3	6.0×10^−4	5.4×10^−3
1.9	Present method	2.1×10^−7	3.7×10^−7	2.0×10^−7	1.2×10^−7	2.2×10^−7
	Method [16]	2.9×10^−5	3.7×10^−4	6.8×10^−4	9.2×10^−5	6.2×10^−3
2.0	Present method	7.0×10^−14	9.0×10^−14	6.8×10^−14	3.7×10^−13	2.1×10^−13
	Method [16]	2.4×10^−5	2.6×10^−4	4.9×10^−4	7.0×10^−5	6.6×10^−3