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Table 1 Errors and ratio for ( 22 ) and ( 23 )

From: Preservation of stability and oscillation of Euler-Maclaurin method for differential equation with piecewise constant arguments of alternately advanced and retarded type

 

( 22 )

( 23 )

AE

RE

AE

RE

m = 2

5.9270e−04

3.0000e−03

2.1142e−08

1.8000e−03

m = 3

4.9566e−05

2.4792e−04

1.8071e−09

1.5564e−04

m = 5

2.2540e−06

1.1274e−05

8.3186e−11

7.1644e−06

m = 10

3.4836e−08

1.7424e−07

1.2924e−12

1.1131e−07

m = 20

5.4283e−10

2.7151e−09

2.0165e−14

1.7367e−09

m = 40

8.4785e−12

4.2407e−11

3.1361e−16

2.7010e−11

Ratio

64.0243

64.0248

64.2996

64.2984