Solving Operator Equation Based on Expansion Approach

Table 3

Comparison between the exact and approximate solutions for , , and of Experiment 3.

	Exact solution	Pseudospectral method	Error
0.0	1.0000000	1.0000000	0.00000000
0.1	1.1051709	1.1051701	0.00000008
0.2	1.2214028	1.2214011	0.00000017
0.3	1.3498588	1.3498533	0.00000055
0.4	1.4918247	1.4918232	0.00000015
0.5	1.6487213	1.6487211	0.00000002
0.6	1.8221188	1.8221166	0.00000022
0.7	2.0137527	2.0137511	0.00000015
0.8	2.2255409	2.2255401	0.00000007
0.9	2.4596031	2.4596030	0.00000001
1.0	2.7182818	2.7182810	0.00000008