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|標題:||Estimation of an unknown distributed heat source in the inverse heat conduction problem||作者:||Char, M.I.
|關鍵字:||inverse problem;heat source;Borukhov-Vabishchevich method;Newton;method;numerical-solution;parabolic equation;source-term;strength||Project:||Journal of the Chinese Society of Mechanical Engineers||期刊/報告no：:||Journal of the Chinese Society of Mechanical Engineers, Volume 28, Issue 4, Page(s) 397-404.||摘要:||
This article presents a hybrid numerical method to predict the unknown space and time dependent strength of heat source in one-dimensional inverse heat conduction problems. The hybrid numerical algorithm is based on the Borukhov-Vabishchevich (2000) and Newton's iterative method. The spatial distribution of the heat source strength is represented a priori as the series forms of the known function and. the unknown coefficient in the parameter estimation can be adjusted from the improperly initial distribution to the acceptable one automatically using the Newton's iterative method. To confirm the validity and efficiency of the present method, two comparative examples are presented. Comparisons are made between the present estimations and the exact solutions, and the agreement is found out to be generally good.
|Appears in Collections:||應用數學系所|
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