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Theory and Modern Applications

Table 4 Estimated solutions of other methods for Example 4

From: A new numerical method to solve pantograph delay differential equations with convergence analysis

r

WS method of [26] for m = 64

LS method of [16] for N = 20

TS method of [32] for N = 8

HSC method of [43] for N = 8

BP method of [20] for N = 6

BC method of [3] for N = 6

MCC method of [44] for N = 6

0.0

1.000000

0.999971

1.000000

1.000000

1.00000000

1.00000000

1.00000000

0.2

0.665621

0.664703

0.666469

0.664691

0.66469078

0.66469052

0.66469101

0.4

0.432426

0.433555

0.433561

0.433561

0.43356098

0.43356055

0.43356077

0.6

0.275140

0.276471

0.276482

0.276482

0.27648212

0.27648223

0.27648233

0.8

0.170320

0.171482

0.171484

0.171484

0.17148433

0.17148362

0.17148412

1

0.100856

0.102679

0.102744

0.102670

0.10267077

0.10268323

0.10267013