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Theory and Modern Applications

Table 5 Estimated solutions of the presented method for Example 4

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

r

N = 4

N = 5

N = 6

N = 7

N = 8

N = 9

0.0

0.9999818772

0.9999998976

0.9999999966

0.9999999956

0.9999999940

0.9999999920

0.2

0.6643600291

0.6646736636

0.6646906619

0.6646910073

0.6646909975

0.6646909955

0.4

0.4333212737

0.4335721573

0.4335614390

0.4335607657

0.4335607750

0.4335607752

0.6

0.2767356220

0.2764912235

0.2764814803

0.2764823213

0.2764823294

0.2764823279

0.8

0.1716941986

0.1714664548

0.1714843782

0.1714841232

0.1714841100

0.1714841105

1

0.1025092417

0.1026729554

0.1026700543

0.1026701279

0.1026701257

0.1026701257