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Theory and Modern Applications

Table 6 The absolute errors of approximating \(y_{2,\alpha}\) 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

0.5000000000000002

2.220446049250313 × 10−16

0.2

0.4893347110786599

0.4887536023044618

5.811087741980914 × 10−4

0.4

0.45471216929013725

0.45368890889731406

1.0232603928231887 × 10−3

0.6

0.3923561778762831

0.3911974694888207

1.1587083874623483 × 10−3

0.8

0.298878446816582

0.2980336644678221

8.447823487598982 × 10−4

1

0.1715140126819416

0.17151401268194189

2.7755575615628914 × 10−16