Skip to main content

Table 1 The maximum absolute error and rate of convergence of Example 5.1

From: Solving singularly perturbed fredholm integro-differential equation using exact finite difference method

\( \varepsilon \downarrow \)

N \( \rightarrow \) \( 2^5 \)

\( 2^6 \)

\(2^7 \)

\( 2^8 \)

\( 2^9 \)

\( 2^{10} \)

\( 2^{0} \)

4.2307e-06

1.0587e-06

2.6468e-07

6.6170e-08

1.6505e-08

4.0694e-09

1.9986

2.0000

2.0000

2.0033

2.0200

\( 2^{-2} \)

1.7772e-05

4.4479e-06

1.1124e-06

2.7811e-07

6.9524e-08

1.7294e-08

1.9984

1.9994

1.9999

2.0001

2.0072

\( 2^{-4} \)

2.9647e-05

7.5264e-06

1.8872e-06

4.7238e-07

1.1812e-07

2.9529e-08

1.9779

1.9957

1.9982

1.9997

2.0000

\( 2^{-6} \)

3.1288e-05

9.3513e-06

2.4711e-06

6.2516e-07

1.5690e-07

3.9252e-08

1.7424

1.9200

1.9829

1.9944

1.9990

\( 2^{-8} \)

1.3865e-05

4.9014e-06

2.2887e-06

7.0094e-07

1.8356e-07

4.6429e-08

1.5002

1.0987

1.7072

1.9330

1.9832