کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
660492 | 1458116 | 2010 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A two-stage Lie-group shooting method (TSLGSM) to identify time-dependent thermal diffusivity
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی شیمی
جریان سیال و فرایندهای انتقال
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We consider an inverse problem for identifying a time-dependent thermal diffusivity α(t) in a heat conduction equation Tt(x, t) = α(t)Txx(x, t), with the aid of an extra measurement of temperature at an internal point of a rod. Because the data are acquired at an inner point we require to develop a two-stage Lie-group shooting method (TSLGSM) to solve this inverse problem. The present approach is novel and is examined through some numerical tests. By comparing the calculated results with exact ones we can assure that the TSLGSM is an accurate and efficient method, whose estimation error is small even for the identification of a discontinuous and oscillatory thermal diffusivity. Under noise, the identified solutions are also acceptable.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Heat and Mass Transfer - Volume 53, Issues 21–22, October 2010, Pages 4876–4884
Journal: International Journal of Heat and Mass Transfer - Volume 53, Issues 21–22, October 2010, Pages 4876–4884
نویسندگان
Chein-Shan Liu,