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Theory and Modern Applications

Table 1 Comparison between the exact solution and the LS-SVM solution (Example 1)

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

x

Exact solution

LS-SVM solution

Absolute error

0.0000

0.000000000000

0.000000000217

2.1737e−10

0.0915

0.000574431275

0.000574468625

3.7350e−08

0.1518

0.002134568612

0.002134627307

5.8695e−08

0.2410

0.006120352774

0.006120441263

8.8489e−08

0.3604

0.012248409908

0.012248522843

1.1293e−07

0.5000

0.015625000000

0.015625106969

1.0697e−07

0.6395

0.012252859500

0.012252970047

1.1055e−07

0.7590

0.006120352774

0.006120442154

8.9380e−08

0.8482

0.002134568612

0.002134628711

6.0099e−08

0.9084

0.000576126428

0.000576167078

4.0650e−08

1.0000

0.000000000000

0.000000000129

1.2915e−10