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Theory and Modern Applications

Table 5 For Example 6, 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)

−4.44 × 10−7

0.342

1.092

1.649

1.629

1.308

0.760

1.34 × 10−7

Error

4.44E(−7)

7.15E(−9)

7.76E(−9)

1.03E(−8)

1.29E(−8)

1.37E(−8)

1.40E(−8)

1.34E(−8)