x | \(\boldsymbol{\varphi_{m,n}(x)}\) : The present method | \(\boldsymbol{\varphi_{h}(x)}\) : The difference method | ||||
---|---|---|---|---|---|---|
(2,2) | (2,4) | (4,2) | (4,4) | h  = 0.1 | h  = 0.05 | |
0.10 | 1.8921e − 3 | 1.3455e − 4 | 4.0629e − 4 | 8.1435e − 6 | 1.7128e − 4 | 4.2829e − 5 |
0.20 | 3.7502e − 3 | 2.6842e − 4 | 7.8165e − 4 | 1.5896e − 5 | 3.0443e − 4 | 7.6114e − 5 |
0.30 | 5.4142e − 3 | 3.9569e − 4 | 1.0209e − 3 | 2.0120e − 5 | 3.9356e − 4 | 9.8358e − 5 |
0.40 | 6.4733e − 3 | 4.8748e − 4 | 1.2069e − 3 | 2.3084e − 5 | 4.3201e − 4 | 1.0798e − 4 |
0.50 | 6.1339e − 3 | 4.5086e − 4 | 1.2227e − 3 | 2.3171e − 5 | 4.1224e − 4 | 1.0301e − 4 |
0.60 | 4.6732e − 3 | 2.8768e − 4 | 1.0183e − 3 | 1.7900e − 5 | 3.2672e − 4 | 8.1720e − 5 |
0.70 | 3.0518e − 3 | 1.2016e − 4 | 6.9688e − 4 | 1.1472e − 5 | 1.6693e − 4 | 4.1672e − 5 |
0.80 | 7.6299e − 4 | 6.2865e − 5 | 9.8850e − 4 | 3.8926e − 6 | 7.3872e − 5 | 1.8509e − 5 |
0.90 | 3.5063e − 3 | 3.2838e − 4 | 2.0438e − 3 | 2.2064e − 5 | 4.0280e − 4 | 1.0080e − 4 |
1.00 | 1.2268e − 2 | 9.0172e − 4 | 3.5652e − 3 | 4.6343e − 5 | 8.2447e − 4 | 2.0603e − 4 |