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Theory and Modern Applications

Table 4 Comparison between the exact solution and the LS-SVM solution (Example 4)

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

0.000000000

0.000766592

7.6659e−04

0.0915

0.091372377

0.090633366

7.3901e−04

0.1518

0.151217677

0.150527278

6.9040e−04

0.2410

0.238673845

0.238098672

5.7517e−04

0.3604

0.352648564

0.352301106

3.4746e−04

0.5000

0.479425539

0.479425539

6.2766e−13

0.6395

0.596794319

0.597180775

3.8646e−04

0.7590

0.688196265

0.688892884

6.9662e−04

0.8482

0.750091219

0.750973103

8.8188e−04

0.9084

0.788520736

0.789490968

9.7023e−04

1.0000

0.841470985

0.842497209

0.1026e−04