x | \(\boldsymbol{\varphi_{m,n}(x)}\) : The present method | \(\boldsymbol{\varphi_{h}(x)}\) : The difference method | ||||
---|---|---|---|---|---|---|
(2,1) | (2,2) | (4,1) | (4,2) | h  = 0.1 | h  = 0.05 | |
0.00 | 1.8390e − 3 | 9.9247e − 4 | 1.0502e − 3 | 1.6925e − 4 | 4.9821e − 2 | 2.5019e − 2 |
0.10 | 3.7770e − 3 | 1.2501e − 3 | 1.5834e − 3 | 2.2288e − 4 | 4.5369e − 2 | 2.2780e − 2 |
0.20 | 5.6959e − 3 | 1.5063e − 3 | 2.0998e − 3 | 2.7613e − 4 | 4.0870e − 2 | 2.0517e − 2 |
0.30 | 7.5115e − 3 | 1.7571e − 3 | 2.5446e − 3 | 3.2734e − 4 | 3.6285e − 2 | 1.8212e − 2 |
0.40 | 9.0093e − 3 | 1.9876e − 3 | 2.9475e − 3 | 3.7623e − 4 | 3.1581e − 2 | 1.5848e − 2 |
0.50 | 9.7699e − 3 | 2.1512e − 3 | 3.2074e − 3 | 4.1161e − 4 | 2.6730e − 2 | 1.3411e − 2 |
0.60 | 9.9119e − 3 | 2.2428e − 3 | 3.2926e − 3 | 4.2675e − 4 | 2.1712e − 2 | 1.0891e − 2 |
0.70 | 9.8280e − 3 | 2.3012e − 3 | 3.2046e − 3 | 4.2358e − 4 | 1.6516e − 2 | 8.2834e − 3 |
0.80 | 9.0100e − 3 | 2.2273e − 3 | 2.5986e − 3 | 3.3970e − 4 | 1.1146e − 2 | 5.5885e − 3 |
0.90 | 6.3775e − 3 | 1.7078e − 3 | 1.7315e − 3 | 2.2813e − 4 | 5.6224e − 3 | 2.8184e − 3 |