کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
759230 896469 2010 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Finite domain anomalous spreading consistent with first and second laws
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Finite domain anomalous spreading consistent with first and second laws
چکیده انگلیسی
After reviewing the problematic behavior of some previously suggested finite-interval spatial operators of the symmetric Riesz type, we create a wish list leading toward a new spatial operator suitable to use in the space-time fractional differential equation of anomalous diffusion when the transport of material is strictly restricted to a bounded domain. Based on recent studies of wall effects, we introduce a new definition of the spatial operator and illustrate its favorable characteristics. We provide two numerical methods to solve the modified space-time fractional differential equation and show particular results illustrating compliance to our established list of requirements, most important to the conservation principle and the second law of thermodynamics.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 15, Issue 11, November 2010, Pages 3455-3470
نویسندگان
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