Table 7 Comparison of maximum absolute errors and orders of convergence for Example 4, on the set for \(\varepsilon \in S = \left\{ {2^{ - 2} ,\,\,...\,\,,\,\,2^{ - \,40} } \right\}\)

Present Method

\(E^{N}\)

2.5673e−04

3.2707e−05

3.6738e−06

3.7844e−07

7.4034e−08

3.6837e−08

9.1670e−09

\(R^{N}\)

2.9726

3.1543

3.2791

2.3538

1.0070

2.0066

–

Result in ref. [16]

\(E^{N}\)

8.3652e−04

1.9349e−04

4.6383e−05

1.1343e−05

2.8032e−06

6.9671e−07

1.7369e−07

\(R^{N}\)

2.1122

2.0606

2.0319

2.0166

2.0085

2.0040

–