Least Squares Regularized Method for One-Dimensional Source Inverse Heat Conduction Problem

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2016, Vol. 33 ›› Issue (1): 49-56.

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Least Squares Regularized Method for One-Dimensional Source Inverse Heat Conduction Problem

WU Ziku¹, LI Fule¹, DO Young Kwak²

1. Science and Information College, Qingdao Agricultural University, Qingdao, China;
2. Department of Mathematical Sciences, Korea Advanced Institute of Science and Technology, Daejeon, Korea

Received:2014-12-29 Revised:2015-04-21 Online:2016-01-25 Published:2016-01-25

Abstract

Abstract: We deal with one-dimensional source inverse heat conduction equation. An approach based on least squares support vector machines (LS-SVM) is proposed for semi-analytic approximate solutions. Furthermore, a parameters tuning formulism is shown and stability of the method is presented. The method yields high accuracy and stability solutions in practical examples.

Key words: least squares support vector machines, one-dimensional heat conduction equation, source inverse problem, quadratic programming

CLC Number:

WU Ziku, LI Fule, DO Young Kwak. Least Squares Regularized Method for One-Dimensional Source Inverse Heat Conduction Problem[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 33(1): 49-56.

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Least Squares Regularized Method for One-Dimensional Source Inverse Heat Conduction Problem

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