Table 1 The absolute error for \(\pmb{H(x,t)}\) 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) | 4.51 × 10−6 | −9.23 × 10−7 | 9.09 × 10−9 |
(0.2,0.2) | 8.98 × 10−5 | 1.00 × 10−6 | −3.19 × 10−8 |
(0.3,0.3) | −7.04 × 10−6 | 2.68 × 10−6 | 6.72 × 10−8 |
(0.4,0.4) | −1.97 × 10−4 | −3.49 × 10−6 | −3.04 × 10−8 |
(0.5,0.5) | −1.60 × 10−4 | −4.19 × 10−6 | −8.21 × 10−8 |
(0.6,0.6) | 1.23 × 10−4 | 4.37 × 10−6 | 1.02 × 10−7 |
(0.7,0.7) | 2.80 × 10−4 | 4.62 × 10−6 | 9.62 × 10−9 |
(0.8,0.8) | 5.62 × 10−5 | −4.14 × 10−6 | −7.34 × 10−8 |
(0.9,0.9) | −1.46 × 10−4 | −4.27 × 10−7 | 5.06 × 10−8 |
(1,1) | 0 | 0 | 0 |