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Theory and Modern Applications

Table 2 Approximate norm-2 of absolute errors for some k of the Euler and SCW

From: Solving nonlinear Volterra integro-differential equations of fractional order by using Euler wavelet method

Example

Euler

SCW

\(\boldsymbol {\|e_{8}\|_{2}}\)

\(\boldsymbol {\|e_{16}\|_{2}}\)

\(\boldsymbol {\|e_{32}\|_{2}}\)

\(\boldsymbol {\|e_{8}\|_{2}}\)

\(\boldsymbol {\|e_{16}\|_{2}}\)

\(\boldsymbol {\|e_{32}\|_{2}}\)

Example 1

8.3942e-007

7.2293e-008

7.1159e-009

7.1538e-007

2.3580e-007

5.7642e-008

Example 2

9.4203e-007

5.9209e-008

3.7129e-009

1.6350e-005

1.1839e-006

8.6352e-008