کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8900781 | 1631720 | 2018 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Numerical solution of space fractional diffusion equation by the method of lines and splines
ترجمه فارسی عنوان
راه حل عددی معادله فشرده سازی فضای فیزیکی با روش خطوط و اسپیلین
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
چکیده انگلیسی
This paper is devoted to the application of the method of lines to solve one-dimensional diffusion equation where the classical (integer) second derivative is replaced by a fractional derivative of the Caputo type of order α less than 2 as the space derivative. A system of initial value problems approximates the solution of the fractional diffusion equation with spline approximation of the Caputo derivative. The result is a numerical approach of order O(Îx2+Îtm), where Îx and Ît denote spatial and temporal step-sizes, and 1â¯â¤â¯mâ¯â¤â¯5 is an integer which is set by an ODE integrator that we used. The convergence and numerical stability of the method are considered, and numerical tests to investigate the efficiency and feasibility of the scheme are provided.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 336, 1 November 2018, Pages 465-480
Journal: Applied Mathematics and Computation - Volume 336, 1 November 2018, Pages 465-480
نویسندگان
Younes Salehi, Mohammad T. Darvishi, William E. Schiesser,