کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4646358 1342109 2007 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stability of ADI schemes applied to convection–diffusion equations with mixed derivative terms
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
Stability of ADI schemes applied to convection–diffusion equations with mixed derivative terms
چکیده انگلیسی

We consider Alternating Direction Implicit (ADI) schemes for the numerical solution of initial-boundary value problems for convection–diffusion equations with cross derivative terms. We derive new linear stability results for three ADI schemes that have previously been studied in the literature. These results are subsequently used to show that the ADI schemes under consideration are unconditionally stable when applied to finite difference discretizations of general parabolic two-dimensional convection–diffusion equations. Supporting numerical evidence is included.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 57, Issue 1, January 2007, Pages 19-35