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Theory and Modern Applications

Table 3 For Example 4, 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

0.3415

1.0921

1.6487

1.6292

1.3081

0.7601

0

Error

0

1.07E(−10)

4.70E(−10)

6.02E(−10)

1.32E(−10)

1.58E(−10)

2.60E(−10)

0