کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4632400 | 1340644 | 2010 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A modified Crank–Nicolson scheme with incremental unknowns for convection dominated diffusion equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A modified Crank–Nicolson scheme with incremental unknowns for convection dominated diffusion equations A modified Crank–Nicolson scheme with incremental unknowns for convection dominated diffusion equations](/preview/png/4632400.png)
چکیده انگلیسی
A modified Crank–Nicolson scheme based on one-sided difference approximations is proposed for solving time-dependent convection dominated diffusion equations in two-dimensional space. The modified scheme is consistent and unconditionally stable. A priori L2L2 error estimate for the fully discrete modified scheme is derived. With the use of the incremental unknowns preconditioner at each time step, a comparison among several classical numerical schemes has been made and numerical results confirm stability and efficiency of the modified Crank–Nicolson scheme.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 215, Issue 9, 1 January 2010, Pages 3293–3301
Journal: Applied Mathematics and Computation - Volume 215, Issue 9, 1 January 2010, Pages 3293–3301
نویسندگان
Lun-Ji Song, Yu-Jiang Wu,