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Theory and Modern Applications

Table 2 For Example 3, 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

0.036

0.042

0

−0.042

−0.048

−0.036

0

Error

0

1.50E(−11)

1.45E(−12)

0

4.23E(−11)

5.33E(−11)

6.39E(−11)

0