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Theory and Modern Applications

Table 2 When \(m =2^{5}\), 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

\(\frac{1}{32}\)

2.2590513 × 10−6

1.1295256 × 10−6

4.5181026 × 10−8

4.4729216 × 10−6

\(\frac{2}{32}\)

8.7823046 × 10−6

4.3911523 × 10−6

1.7564609 × 10−7

1.7388963 × 10−5

\(\frac{3}{32}\)

1.1192231 × 10−5

5.5961158 × 10−6

2.2384463 × 10−7

2.2160618 × 10−5

\(\frac{4}{32}\)

1.1983301 × 10−5

5.9916507 × 10−6

2.3966603 × 10−7

2.3726937 × 10−5

\(\frac{5}{32}\)

3.9319526 × 10−5

1.9659763 × 10−5

7.8639053 × 10−7

7.7852663 × 10−6