LS-SVM based solution for delay differential equations

Siamak Mehrkanoon; Johan A.K. Suykens

doi:10.1088/1742-6596/410/1/012041

LS-SVM based solution for delay differential equations

Siamak Mehrkanoon^*, Johan A.K. Suykens

^*Corresponding author for this work

Sub Algorithmic Data Analysis

KU Leuven

Research output: Contribution to journal › Conference article › Academic › peer-review

Abstract

In this paper a new approach based on Least Squares Support Vector Machines (LS-SVMs) is proposed for solving delay differential equations (DDEs) with single-delay. The proposed method provides a closed form approximate model based solution without using any interpolation techniques. The result of this paper can be extended for DDE with multi-lags. The results of some numerical experiments are presented and compared with analytic solutions to confirm the validity and applicability of the proposed method.

Original language	English
Article number	012041
Journal	Journal of Physics: Conference Series
Volume	410
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/410/1/012041
Publication status	Published - 2013
Event	1st International Conference on Mathematical Modelling in Physical Sciences, IC-MSQUARE 2012 - Budapest, Hungary Duration: 3 Sept 2012 → 7 Sept 2012

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title = "LS-SVM based solution for delay differential equations",

abstract = "In this paper a new approach based on Least Squares Support Vector Machines (LS-SVMs) is proposed for solving delay differential equations (DDEs) with single-delay. The proposed method provides a closed form approximate model based solution without using any interpolation techniques. The result of this paper can be extended for DDE with multi-lags. The results of some numerical experiments are presented and compared with analytic solutions to confirm the validity and applicability of the proposed method.",

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AU - Mehrkanoon, Siamak

AU - Suykens, Johan A.K.

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AB - In this paper a new approach based on Least Squares Support Vector Machines (LS-SVMs) is proposed for solving delay differential equations (DDEs) with single-delay. The proposed method provides a closed form approximate model based solution without using any interpolation techniques. The result of this paper can be extended for DDE with multi-lags. The results of some numerical experiments are presented and compared with analytic solutions to confirm the validity and applicability of the proposed method.

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DO - 10.1088/1742-6596/410/1/012041

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JO - Journal of Physics: Conference Series

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T2 - 1st International Conference on Mathematical Modelling in Physical Sciences, IC-MSQUARE 2012

Y2 - 3 September 2012 through 7 September 2012

ER -

LS-SVM based solution for delay differential equations

Abstract

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