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Theory and Modern Applications

Table 1 Exact and approximate result of Test example 4.1 with various values of α

From: An optimal method for approximating the delay differential equations of noninteger order

x

OHAM

Exact

Absolute error

α = 0.6

α = 0.8

α = 1

0.0

0.0

0.0

0.0

0.0

0.0

0.2

0.380402

0.283984

0.193419

0.198669

0.00525038

0.4

0.423057

0.475332

0.383577

0.389418

0.00584113

0.6

0.17166

0.598362

0.564596

0.564642

0.00004673

0.8

−0.472504

0.616461

0.725359

0.717356

0.00800265

1.0

−1.6197

0.471231

0.846895

0.841471

0.00542437