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Theory and Modern Applications

Table 6 For Example 7, 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)

−5.45 × 10−8

0.995

0.283

0.412

0.423

0.356

0.221

8.91 × 10−9

Error

5.45E(−8)

7.60E(−9)

6.65E(−9)

6.27E(−9)

6.69E(−9)

7.24E(−9)

7.98E(−9)

8.91E(−9)