کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4992896 1457469 2017 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An inverse problem of finding the time-dependent thermal conductivity from boundary data
ترجمه فارسی عنوان
یک مشکل معکوس برای یافتن هدایت حرارتی وابسته به زمان از داده های مرزی
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه مهندسی شیمی جریان سیال و فرایندهای انتقال
چکیده انگلیسی
We consider the inverse problem of determining the time-dependent thermal conductivity and the transient temperature satisfying the heat equation with initial data, Dirichlet boundary conditions, and the heat flux as overdetermination condition. This formulation ensures that the inverse problem has a unique solution. However, the problem is still ill-posed since small errors in the input data cause large errors in the output solution. The finite difference method is employed as a direct solver for the inverse problem. The inverse problem is recast as a nonlinear least-squares minimization subject to physical positivity bound on the unknown thermal conductivity. Numerically, this is effectively solved using the lsqnonlin routine from the MATLAB toolbox. We investigate the accuracy and stability of results on a few test numerical examples.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Communications in Heat and Mass Transfer - Volume 85, July 2017, Pages 147-154
نویسندگان
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