Approximate solutions to one-dimensional backward heat conduction problem using least squares support vector machines

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This article deals with one-dimension backward heat conduction problem (BHCP). A new approach based on least squares support vector machines (LS-SVM) is proposed for obtaining their approximate solutions. The approximate solution is presented in closed form by means of LS-SVM, whose parameters are adjusted to minimize an appropriate error function. The approximate solution consists of two parts. The first part is a known function that satisfies initial and boundary conditions. The other is a product of two terms. One term is known function which has zero boundary and initial conditions, another term is unknown which is related to kernel functions. This method has been successfully tested on practical examples and has yielded higher accuracy and stable solutions.
Publisher
충청수학회
Issue Date
2016-11
Language
English
Keywords

backward heat conduction problem; least squares support vector machines; approximate solutions

Citation

충청수학회지, v.29, no.4, pp.631 - 642

ISSN
1226-3524
URI
http://hdl.handle.net/10203/222988
Appears in Collection
MA-Journal Papers(저널논문)
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