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Table 1 Problem 1 : Absolute errors with \(\pmb{C=1}\)

From: A class of quasi-variable mesh methods based on off-step discretization for the solution of non-linear fourth order ordinary differential equations with Dirichlet and Neumann boundary conditions

x K  = 1 K  = 10
Second order ( 2.7a )-( 2.7b ) Fourth order ( 2.21a )-( 2.21b ) Absolute error [ 17 ] Second order ( 2.7a )-( 2.7b ) Fourth order ( 2.21a )-( 2.21b ) Absolute error [ 17 ]
0.0 0.0e+00 0.0e+00 0.0e+00 0.0e+00 0.0e+00 0.0e+00
0.1 5.1e−07 2.1e−10 1.7e−09 2.2e−06 1.7e−09 1.2e−09
0.2 1.6e−06 6.4e−10 5.8e−09 7.2e−06 5.2e−09 4.3e−09
0.3 2.9e−06 1.1e−09 1.1e−08 1.3e−05 9.0e−09 8.2e−09
0.4 3.9e−06 1.5e−09 1.6e−08 1.7e−05 1.2e−08 1.2e−08
0.5 4.4e−06 1.7e−09 2.1e−08 2.0e−05 1.3e−08 1.5e−08
0.6 4.2e−06 1.6e−09 2.2e−08 1.9e−05 1.3e−08 1.6e−08
0.7 3.3e−06 1.3e−09 2.0e−08 1.6e−05 1.0e−08 1.5e−08
0.8 2.0e−06 7.5e−10 1.4e−08 9.5e−06 6.2e−09 1.1e−08
0.9 6.2e−07 2.3e−10 5.6e−08 3.2e−06 1.9e−09 4.5e−09
1.0 0.0e+00 0.0e+00 0.0e+00 0.0e+00 0.0e+00 0.0e+00