کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8902575 1632142 2018 28 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Sixth-order non-uniform combined compact difference scheme for multi-term time fractional diffusion-wave equation
ترجمه فارسی عنوان
شبیه ساز همگرا ترکیب نامتعادل شبیه ساز برای معادله موج چند فصلی موج فشردگی
کلمات کلیدی
معادله نفوذ موج فشرده چند زمانه، طرح اختلاط فشرده ترکیبی، شبکه های غیر یکنواخت،
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات محاسباتی
چکیده انگلیسی
In this paper, we propose a high-order scheme for the numerical solution of multi-term time fractional diffusion-wave (FDW) equation in one and two-dimensional on non-uniform grids. Based on the sixth-order non-uniform combined compact difference (NCCD) scheme in the space directions on non-uniform grids, an alternating direction implicit (ADI) method is proposed to split the equation into two separate one dimensional equations. The multi-term time fractional derivation is described in the Caputo's sense with scheme of order O(τ3−α), 1<α<2. A numerical analysis of Fourier analysis completed by stability calculations in terms of semi-discrete eigenvalue problems are proposed. The advantage of the non-uniform combined compact difference (NCCD) scheme is that it can decrease the CPU time in comparison with the uniform combined compact difference (CCD) scheme. The sixth-order accuracy in the space directions on non-uniform grids has not been achieved in previous studies.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 131, September 2018, Pages 72-94
نویسندگان
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