کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4623602 1339519 2006 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Numerical solution of a mixed singularly perturbed parabolic–elliptic problem
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Numerical solution of a mixed singularly perturbed parabolic–elliptic problem
چکیده انگلیسی

A one-dimensional singularly perturbed problem of mixed type is considered. The domain under consideration is partitioned into two subdomains. In the first subdomain a parabolic reaction–diffusion problem is given and in the second one an elliptic convection–diffusion–reaction problem. The solution is decomposed into regular and singular components. The problem is discretized using an inverse-monotone finite volume method on condensed Shishkin meshes. We establish an almost second-order global pointwise convergence in the space variable, that is uniform with respect to the perturbation parameter.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 320, Issue 1, 1 August 2006, Pages 361-380