کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4630732 1340606 2011 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The space fractional diffusion equation with Feller’s operator
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
The space fractional diffusion equation with Feller’s operator
چکیده انگلیسی

This paper investigates the space fractional diffusion equation with fractional Feller’s operator. The Green’s function is obtained by using Fourier transform, and the analytical solutions of some space fractional diffusion equations with initial (or initial and boundary) condition are obtained in terms of Green’s function. In addition, numerical simulations are discussed. The results indicate that the effect range of skewness parameter θθ has more effect on probability density than that of parameter αα. The results also explain the property of the skewness and long tail in the asymmetry diffusion process.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 217, Issue 24, 15 August 2011, Pages 9971–9977
نویسندگان
,