Table 2 The absolute error for \(\pmb{u (\frac{x}{2-t},t )}\) in Example 1
From: A Ritz-Galerkin approximation to the solution of parabolic equation with moving boundaries
( x , t ) | N = 2, M = 4 | N = 2, M = 6 | N = 2, M = 8 |
|---|---|---|---|
(0,0) | 0 | 0 | 0 |
(0.1,0.1) | 7.80 × 10−6 | −1.64 × 10−7 | 1.62 × 10−8 |
(0.2,0.2) | 1.37 × 10−4 | 1.52 × 10−6 | −4.89 × 10−8 |
(0.3,0.3) | −9.19 × 10−6 | 3.39 × 10−6 | 8.52 × 10−8 |
(0.4,0.4) | −2.02 × 10−4 | −3.61 × 10−6 | −3.25 × 10−8 |
(0.5,0.5) | −1.23 × 10−4 | −3.19 × 10−6 | −6.21 × 10−8 |
(0.6,0.6) | 7.91 × 10−5 | 2.70 × 10−6 | 6.13 × 10−8 |
(0.7,0.7) | 1.12 × 10−4 | 1.69 × 10−6 | −8.15 × 10−10 |
(0.8,0.8) | 8.81 × 10−6 | −1.10 × 10−6 | −1.74 × 10−8 |
(0.9,0.9) | −1.68 × 10−5 | −1.12 × 10−8 | 5.72 × 10−9 |
(1,1) | 0 | 0 | 0 |