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곽도영,최경식 한국수학교육학회 2013 수학교육 학술지 Vol.2013 No.-
본 논문에서는 벡터의 분해와 합의 개념을 이용하여, 사이클로이드, 에피사이클로이드, 하이포사이클로이드 곡선을 ‘수학-과학 소프트웨어’인 지오지브라에서 구현하며, 에피사이클로이드 곡선과 하이포사이클로이드 곡선의 연관성을 밝힌다.
곽도영,Ziku Wu,Fule Li 충청수학회 2016 충청수학회지 Vol.29 No.4
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.