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題名 An asymptotic solution for the free boundary parabolic equations
作者 Liu, Ming-Long
劉明郎
Liu, H.-K.
貢獻者 應數系
關鍵詞 Asymptotic solutions; Computational results; Exchange options; Free boundary; Free-boundary problems; Nonlinear integral equations; Numerical solution; Parabolic Equations; Boundary value problems; Iterative methods; Partial differential equations; Integral equations
日期 2011-07
上傳時間 22-Jun-2015 14:26:36 (UTC+8)
摘要 In this paper, we investigate the solution of a two dimensional parabolic free boundary problem. The free boundary of this problem is modelled as a nonlinear integral equation (IE). For this integral equation, we propose an asymptotic solution as time is near to maturity and develop an integral iterative method. The computational results reveal that our asymptotic solution is very close to the numerical solution as time is near to maturity.
關聯 World Academy of Science, Engineering and Technology, 55, 1058-1064
資料類型 article
dc.contributor 應數系-
dc.creator (作者) Liu, Ming-Longen_US
dc.creator (作者) 劉明郎zh_TW
dc.creator (作者) Liu, H.-K.en_US
dc.date (日期) 2011-07-
dc.date.accessioned 22-Jun-2015 14:26:36 (UTC+8)-
dc.date.available 22-Jun-2015 14:26:36 (UTC+8)-
dc.date.issued (上傳時間) 22-Jun-2015 14:26:36 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/76005-
dc.description.abstract (摘要) In this paper, we investigate the solution of a two dimensional parabolic free boundary problem. The free boundary of this problem is modelled as a nonlinear integral equation (IE). For this integral equation, we propose an asymptotic solution as time is near to maturity and develop an integral iterative method. The computational results reveal that our asymptotic solution is very close to the numerical solution as time is near to maturity.-
dc.format.extent 176 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) World Academy of Science, Engineering and Technology, 55, 1058-1064-
dc.subject (關鍵詞) Asymptotic solutions; Computational results; Exchange options; Free boundary; Free-boundary problems; Nonlinear integral equations; Numerical solution; Parabolic Equations; Boundary value problems; Iterative methods; Partial differential equations; Integral equations-
dc.title (題名) An asymptotic solution for the free boundary parabolic equations-
dc.type (資料類型) articleen