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Table 5 The theoretical estimate errors \(\hbox {TE}_N\) and comparison of the maximal absolute errors \(\hbox {ME}_N\) of present method and of other methods for Example 2

From: An effective numerical method to solve a class of nonlinear singular boundary value problems using improved differential transform method

N

\(\hbox {TE}_N\)

\(\hbox {ME}_N\)

N

\(\hbox {TE}_N\)

\(\hbox {ME}_N\)

N

in Çağlar et al. (2009)

N

in Chawla et al. (1988)

10

6.9957e−05

1.0488e−05

16

2.2413e−07

3.5041e−08

20

3.1607e−05

16

2.52e−03

12

1.0042e−05

1.5380e−06

18

3.2730e−08

5.4593e−09

40

7.8742e−06

32

1.83e−04

14

1.4795e−06

2.3036e−07

20

6.6210e−09

8.4075e−10

60

3.5011e−06

64

1.28e−05