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

@article{Lu2019TheLA, title={The LS-SVM algorithms for boundary value problems of high-order ordinary differential equations}, author={Yanfei Lu and Qingfei Yin and Hongyi Li and Hongli Sun and Yunlei Yang and Muzhou Hou}, journal={Advances in Difference Equations}, year={2019}, volume={2019}, pages={1-22} }

- Published 2019
DOI:10.1186/s13662-019-2131-3

This paper introduces the improved LS-SVM algorithms for solving two-point and multi-point boundary value problems of high-order linear and nonlinear ordinary differential equations. To demonstrate the reliability and powerfulness of the improved LS-SVM algorithms, some numerical experiments for third-order, fourth-order linear and nonlinear ordinary differential equations with two-point and multi-point boundary conditions are performed. The idea can be extended to other complicated ordinary… CONTINUE READING

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 52 REFERENCES

## Approximate Solutions to Ordinary Differential Equations Using Least Squares Support Vector Machines

VIEW 7 EXCERPTS

HIGHLY INFLUENTIAL

## Regression-based weight generation algorithm in neural network for solution of initial and boundary value problems

VIEW 3 EXCERPTS

HIGHLY INFLUENTIAL

## On shifted Jacobi spectral method for high-order multi-point boundary value problems

VIEW 3 EXCERPTS

HIGHLY INFLUENTIAL

## The use of Sinc-collocation method for solving multi-point boundary value problems

VIEW 3 EXCERPTS

HIGHLY INFLUENTIAL

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