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Theory and Modern Applications

Table 5 The absolute errors of approximating \(y_{1,\alpha}\) for \(( 1,2 ) \)-system at various t and \(\alpha=0.5\)

From: Application of reproducing kernel Hilbert space method for solving second-order fuzzy Volterra integro-differential equations

\(t_{i}\)

Exact solution

Approximate solution

Absolute error

0

−0.5

−0.5000000000000001

1.1102230246251565 × 10−16

0.2

−0.4893347110786599

−0.4887536023044621

5.811087741978138 × 10−4

0.4

−0.45471216929013725

−0.45368890889731417

1.0232603928230777 × 10−3

0.6

−0.3923561778762831

−0.3911974694888205

1.1587083874625703 × 10−3

0.8

−0.298878446816582

−0.2980336644678224

8.447823487595651 × 10−4

1

−0.1715140126819416

−0.17151401268194177

1.6653345369377348 × 10−16