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Theory and Modern Applications

Table 1 Comparisons between u 2 , u 9 and the exact solution

From: New applications of the variational iteration method - from differential equations to q-fractional difference equations

t

VIM[ u 2 ]

VIM[ u 9 ]

Exact solution

0

0

0

0

0.1

0.109666666667

0.110295196915

0.110295196918

0.2

0.237333333333

0.241976799617

0.241976799622

0.3

0.381000000000

0.395104848537

0.395104848660

0.4

0.538666666667

0.567812165419

0.567812166292

0.5

0.708333333333

0.756014390810

0.756014393428

0.6

0.888000000000

0.953566212412

0.953566216469

0.7

1.07566666667

1.15294896351

1.15294896698

0.8

1.26933333333

1.34636365376

1.34636365537

0.9

1.46700000000

1.52691131294

1.52691131327

1.0

1.66666666667

1.68949839169

1.68949839159