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Theory and Modern Applications

Table 1 For Example 1, showing the numerical solutions and the absolute errors obtained by the BSFM at different points

From: Solving nonlinear third-order three-point boundary value problems by boundary shape functions methods

x

0

0.1

0.3

0.5

0.7

0.8

0.9

1

y(x)

0.08940

0.08417

0.05018

0

0.05018

0.07028

0.08417

0.08940

Error

1.31E(−11)

1.24E(−11)

2.16E(−11)

0

2.15E(−11)

1.31E(−11)

1.05E(−11)

1.33E(−11)