کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
470442 698490 2014 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Uniformly convergent additive finite difference schemes for singularly perturbed parabolic reaction–diffusion systems
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Uniformly convergent additive finite difference schemes for singularly perturbed parabolic reaction–diffusion systems
چکیده انگلیسی

In this paper 1D parabolic systems of two singularly perturbed equations of reaction–diffusion type are examined. For the time discretization we consider two additive (or splitting) schemes defined on a uniform mesh and for the space discretization we use the classical central difference approximation defined on a Shishkin mesh. The uniform convergence of both the semidiscrete and the fully discrete problems is proved. The additive schemes are used to solve a test problem, and the results obtained with these schemes and the standard discretization using the backward Euler method are compared. Also, numerical results are presented in the case of systems of three equations. All the numerical results show the advantage in computational cost of the additive schemes compared to the standard discretization.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 67, Issue 3, February 2014, Pages 655–670
نویسندگان
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