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Theory and Modern Applications

Table 1 When \(m=2^{4}\), error means \(E_{m}\), error standard deviations \(E_{s}\), and confidence intervals are given in this table

From: Numerical solution of nonlinear stochastic Itô–Volterra integral equations based on Haar wavelets

v

\(E_{m}\)

\(E_{s}\)

95% confidence interval for error mean

Lower

Upper

\(\frac{1}{16}\)

2.1422688 × 10−5

1.0711344 × 10−6

8.4307964 × 10−8

4.2416924 × 10−6

\(\frac{2}{16}\)

6.9693462 × 10−5

3.4846731 × 10−6

1.7016633 × 10−7

1.3799305 × 10−5

\(\frac{3}{16}\)

6.0556726 × 10−5

3.0278363 × 10−6

1.4766843 × 10−7

1.1990231 × 10−5

\(\frac{4}{16}\)

5.9652419 × 10−5

2.9826209 × 10−7

2.1384868 × 10−7

1.1811179 × 10−5

\(\frac{5}{16}\)

2.9736896 × 10−5

1.4868448 × 10−6

6.69011884 × 10−8

5.8879054 × 10−6