x

t

Numerical solution

Exact solution

Absolute errors Present method ( $M=8,N=10$ )

Absolute errors Variational iteration method

0.5

0.2

1.4983

1.4983

0.0040E−05

0.004732E−02

0.5

0.4

1.3113

1.3113

0.0249E−05

0.006379E−02

0.5

0.8

1.0044

1.0044

0.1163E−05

0.013248E−02

0.5

1.0

0.8790

0.8790

0.1743E−05

0.000969E−02

1.0

0.2

1.9239

1.9239

0.0025E−05

0.006076E−02

1.0

0.6

1.4736

1.4736

0.0392E−05

0.019163E−02

1.0

0.8

1.2896

1.2896

0.0781E−05

0.017012E−02

1.5

0.2

2.4703

2.4703

0.0008E−05

0.007802E−02

1.5

0.4

2.1620

2.1620

0.0065E−05

0.010516E−02

1.5

0.8

1.6559

1.6559

0.0359E−05

0.021844E−02

1.5

1.0

1.4492

1.4492

0.0601E−05

0.001597E−02