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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 2 Comparison between the exact solution and the LS-SVM solution (Example 2)

From: The LS-SVM algorithms for boundary value problems of high-order ordinary differential equations

x

Exact solution

LS-SVM solution

Absolute error

−1.000

1.000000000000

0.999999999445

5.5479e−10

−0.815

1.640426196740

1.640428927360

2.7306e−06

−0.630

1.900756345700

1.900760018292

3.6726e−06

−0.445

1.982549814222

1.982553400148

3.5859e−06

−0.260

1.998811862400

1.998814089420

2.2270e−06

−0.075

1.999997626953

1.999998222454

5.9550e−07

0.1100

2.000016105100

2.000015225700

8.7940e−07

0.2950

2.002234138434

2.002231597236

2.5412e−06

0.4800

2.025480396800

2.025476689675

3.7071e−06

0.6650

2.130049362166

2.130045793200

3.5690e−06

0.8500

2.443705312500

2.443702978729

2.3338e−06

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