충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제29권4호
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  • Pages.631-642
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  • 2016
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
권호 표지
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APPROXIMATE SOLUTIONS TO ONE-DIMENSIONAL BACKWARD HEAT CONDUCTION PROBLEM USING LEAST SQUARES SUPPORT VECTOR MACHINES

  • Wu, Ziku (Department of Mathematics Qingdao Agricultural University) ;
  • Li, Fule (Department of Mathematics Qingdao Agricultural University) ;
  • Kwak, Do Young (Department of Mathematical Sciences Korea Advanced Institute of Science and Technology)
  • 투고 : 2016.01.13
  • 심사 : 2016.10.13
  • 발행 : 2016.11.15
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초록

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.

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참고문헌

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