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Theory and Modern Applications

Table 4 For Example 5, 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

0.014

0.108

0.250

0.392

0.448

0.489

0.500

Error

0

1.81E(−13)

1.61E(−12)

4.42E(−12)

8.51E(−12)

1.10E(−11)

1.40E(−11)

1.67E(−11)