کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4631806 1340629 2010 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A Stefan problem for a non-classical heat equation with a convective condition
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A Stefan problem for a non-classical heat equation with a convective condition
چکیده انگلیسی

We prove the existence and uniqueness, local in time, of the solution of a one-phase Stefan problem for a non-classical heat equation for a semi-infinite material with a convective boundary condition at the fixed face x = 0. Here the heat source depends on the temperature at the fixed face x = 0 that provides a heating or cooling effect depending on the properties of the source term. We use the Friedman–Rubinstein integral representation method and the Banach contraction theorem in order to solve an equivalent system of two Volterra integral equations. We also obtain a comparison result of the solution (the temperature and the free boundary) with respect to the one corresponding with null source term.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 217, Issue 8, 15 December 2010, Pages 4051–4060
نویسندگان
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