Solving Operator Equation Based on Expansion Approach

Table 1

Comparison between the exact and approximate solutions for , , and of Experiment 1.

	Exact solution	Pseudospectral method	Error
−1.0	0.54030231	0.54030231	0.00000000
−0.80	0.69670671	0.69670667	0.00000004
−0.60	0.82533561	0.82533555	0.00000006
−0.40	0.92106099	0.92106045	0.00000054
−0.20	0.98006658	0.98006645	0.00000013
0.00	1.00000000	0.99999922	0.00000078
0.20	0.98006658	0.98006633	0.00000025
0.40	0.92106099	0.92106056	0.00000043
0.60	0.82533561	0.82533545	0.00000016
0.80	0.69670671	0.69670656	0.00000015
1.0	0.54030231	0.54030231	0.00000000