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Theory and Modern Applications

Table 6 Comparison of methods with \((x,y)=(0.5.0.5)\) of Example 5.3

From: Solving two-dimensional fuzzy Fredholm integral equations via sinc collocation method

r

Present method

Method of [41]

Method of [42]

n = 2N + 1 = 17

n = 2N = 20

n = 20

\((\underline{E}^{r},\overline{E}^{r})\)

\((\underline{E}^{r},\overline {E}^{r})\)

\((\underline{E}^{r},\overline{E}^{r})\)

0.0

(3.0e-08,5.9e-08)

(4.7e-05,2.8e-05)

(1.0e-03,2.2e-03)

0.2

(2.1e-08,5.0e-08)

(3.9e-05,8.6e-05)

(7.8e-04,6.4e-03)

0.4

(1.0e-08,4.2e-08)

(9.0e-06,8.0e-06)

(1.3e-04,8.1e-03)

0.6

(3.1e-09,3.5e-08)

(4.0e-06,5.0e-06)

(6.1e-04,7.3e-03)

0.8

(1.7e-08,3.1e-08)

(1.2e-05,3.3e-05)

(1.8e-03,4.7e-03)