Solving Operator Equation Based on Expansion Approach

Table 2

Comparison between the exact and approximate solutions for , , and of Experiment 2.

	Exact solution	Pseudospectral method	Error
0.0	0.62245933	0.62245922	0.00000011
0.1	0.68366636	0.68366643	−0.00000007
0.2	0.75131058	0.75131034	0.00000024
0.3	0.82606901	0.82606923	−0.00000022
0.4	0.90868985	0.90868925	0.00000060
0.5	1.00000000	1.00000000	0.0000000
0.6	1.10091330	1.10091120	0.00000021
0.7	1.21243980	1.21243880	0.00000010
0.8	1.33569560	1.33569450	0.00000011
0.9	1.47191430	1.47191350	0.00000008
1.0	1.62245930	1.62245560	0.00000037