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Table 2 Comparison of the maximum absolute error of the proposed scheme and the scheme in [9] of Example 4.1

From: A fitted operator numerical method for singularly perturbed Fredholm integro-differential equation with integral initial condition

\(\varepsilon \downarrow N \rightarrow\)

\(2^6\)

\(2^7\)

\(2^8\)

\(2^9\)

Proposed scheme

\(2^{-4}\)

7.4664e–03

3.9318e–03

2.0162e–03

1.0207e–03

\(2^{-8}\)

2.3379e–03

3.9174e–03

5.2115e–03

5.1020e–03

\(2^{-10}\)

9.0871e–04

3.9685e–04

7.3668e–04

2.1274e–03

Result in [9]

\(2^{-4}\)

4.358e–01

5.281e–01

6.133e–01

5.291e–01

\(2^{-8}\)

4.912e–01

4.830e–01

5.668e–01

6.435e–01

\(2^{-10}\)

7.700e–01

4.610e–01

5.701e–01

6.014e–01