کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
656936 1458058 2015 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
High-order compact operator splitting method for three-dimensional fractional equation with subdiffusion
ترجمه فارسی عنوان
روش تقسیم کارآفرینی کم حجم بالا برای معادله سه بعدی سه بعدی با زیردیفوژن
موضوعات مرتبط
مهندسی و علوم پایه مهندسی شیمی جریان سیال و فرایندهای انتقال
چکیده انگلیسی

In this paper, a high-order compact finite difference method is proposed to solve the three-dimensional (3D) time fractional convection–diffusion equation with subdiffusion (0<α<10<α<1). After a transform of the original problem, a difference scheme which is combined the Padé approximation for the space derivatives with the classical backward differentiation formula for time fractional derivative is presented. The new scheme is fourth-order accurate in space and (2-α)(2-α)-order accurate in time. To increase the efficiency and stability of numerical solutions, the alternating direction implicit (ADI) operator splitting approach is employed. The stability analysis shows that this method is unconditionally stable. Numerical experiments are carried out to support the theoretical results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Heat and Mass Transfer - Volume 84, May 2015, Pages 440–447
نویسندگان
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