Table 7 Absolute errors for \(\mathfrak{h}(t)=t\) and \(\sigma (x,t)=0.5\) at equally spaced points \((x_{j}, t_{j})\) for Example 6.4

(0.0, 0.0)

0.0000

0.0000

0.0000

0.00

(0.1, 0.1)

5.5521 × 10⁻⁷

1.7993 × 10⁻⁸

1.3365 × 10⁻⁹

8.50 × 10⁻⁸

(0.2, 0.2)

2.8124 × 10⁻⁶

3.5316 × 10⁻⁸

2.4635 × 10⁻⁹

9.24 × 10⁻⁸

(0.3, 0.3)

8.2040 × 10⁻⁸

1.6510 × 10⁻⁷

8.9275 × 10⁻⁹

8.24 × 10⁻⁸

(0.4, 0.4)

1.7251 × 10⁻⁵

5.7729 × 10⁻⁷

2.1087 × 10⁻⁸

1.59 × 10⁻⁷

(0.5, 0.5)

5.1356 × 10⁻⁵

8.4428 × 10⁻⁷

1.0769 × 10⁻⁷

2.50 × 10⁻⁷

(0.6, 0.6)

9.4605 × 10⁻⁵

5.8758 × 10⁻⁷

2.1640 × 10⁻⁷

2.42 × 10⁻⁷

(0.7, 0.7)

1.3139 × 10⁻⁴

1.7271 × 10⁻⁷

2.8260 × 10⁻⁷

2.19 × 10⁻⁷

(0.8, 0.8)

1.4741 × 10⁻⁴

8.6705 × 10⁻⁷

2.7865 × 10⁻⁷

4.80 × 10⁻⁷

(0.9, 0.9)

1.4313 × 10⁻⁴

7.6574 × 10⁻⁷

2.7263 × 10⁻⁷

9.18 × 10⁻⁷

(1.0, 1.0)

1.4740 × 10⁻⁴

3.6546 × 10⁻⁷

3.1361 × 10⁻⁷

6.83 × 10⁻⁷