کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8900884 1631723 2018 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Semi-analytical solution of multilayer diffusion problems with time-varying boundary conditions and general interface conditions
ترجمه فارسی عنوان
راه حل نیمه تحلیلی از مشکلات انتشار چند لایه با شرایط مرزی متغیر زمان و شرایط رابط عمومی
کلمات کلیدی
انتشار چند لایه، راه حل نیمه تحلیلی، شرایط مرزی گذرا، شرایط رابط عمومی، ضریب پارتیشن، شرایط پرش،
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی
We develop a new semi-analytical method for solving multilayer diffusion problems with time-varying external boundary conditions and general internal boundary conditions at the interfaces between adjacent layers. The convergence rate of the semi-analytical method, relative to the number of eigenvalues, is investigated and the effect of varying the interface conditions on the solution behaviour is explored. Numerical experiments demonstrate that solutions can be computed using the new semi-analytical method that are more accurate and more efficient than the unified transform method of Sheils [Appl. Math. Model., 46:450-464, 2017]. Furthermore, unlike classical analytical solutions and the unified transform method, only the new semi-analytical method is able to correctly treat problems with both time-varying external boundary conditions and a large number of layers. The paper is concluded by replicating solutions to several important industrial, environmental and biological applications previously reported in the literature, demonstrating the wide applicability of the work.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 333, 15 September 2018, Pages 286-303
نویسندگان
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