Table 4 The absolute error for \(\pmb{H(x,t)}\) in Example 2
From: A Ritz-Galerkin approximation to the solution of parabolic equation with moving boundaries
( x , t ) | N = 2, M = 2 | N = 2, M = 4 | N = 2, M = 6 |
|---|---|---|---|
(0,0) | 0 | 0 | 0 |
(0.1,0.1) | 1.69 × 10−3 | −1.36 × 10−5 | −3.93 × 10−7 |
(0.2,0.2) | 1.40 × 10−3 | 1.14 × 10−4 | −5.00 × 10−7 |
(0.3,0.3) | −2.74 × 10−3 | 9.58 × 10−5 | 2.47 × 10−6 |
(0.4,0.4) | −7.35 × 10−3 | −1.48 × 10−4 | 4.35 × 10−7 |
(0.5,0.5) | −7.96 × 10−3 | −2.81 × 10−4 | −4.25 × 10−6 |
(0.6,0.6) | −2.92 × 10−3 | −5.10 × 10−5 | −5.68 × 10−7 |
(0.7,0.7) | 4.58 × 10−3 | 2.65 × 10−4 | 4.70 × 10−6 |
(0.8,0.8) | 7.91 × 10−3 | 1.70 × 10−4 | −9.47 × 10−7 |
(0.9,0.9) | 3.18 × 10−3 | −1.25 × 10−4 | −1.45 × 10−6 |
(1,1) | 0 | 0 | 0 |