کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9509563 | 1341404 | 2005 | 23 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Asymptotic approximations for a singularly perturbed convection-diffusion problem with discontinuous data in a sector
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We consider a singularly perturbed convection-diffusion equation, -εÎu+vâ·ââu=0 on an arbitrary sector shaped domain, Ωâ¡{(r,Ï)|r>0,0<Ï<α} being r and Ï polar coordinates and 0<α<2Ï. We consider for this problem discontinuous Dirichlet boundary conditions at the corner of the sector: u(r,0)=0,u(r,α)=1. An asymptotic expansion of the solution is obtained from an integral representation in two limits: (a) when the singular parameter εâ0+ (with fixed distance r to the discontinuity point of the boundary condition) and (b) when that distance râ0+ (with fixed ε). It is shown that the first term of the expansion at ε=0 contains an error function. This term characterizes the effect of the discontinuity on the ε-behaviour of the solution and its derivatives in the boundary or internal layers. On the other hand, near discontinuity of the boundary condition r=0, the solution u(r,Ï) of the problem is approximated by a linear function of the polar angle Ï.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 181, Issue 1, 1 September 2005, Pages 1-23
Journal: Journal of Computational and Applied Mathematics - Volume 181, Issue 1, 1 September 2005, Pages 1-23
نویسندگان
José L. López, Ester Pérez SinusÃa,