کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4640492 1341276 2010 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Locally linearized fractional step methods for nonlinear parabolic problems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Locally linearized fractional step methods for nonlinear parabolic problems
چکیده انگلیسی

This work deals with the efficient numerical solution of a class of nonlinear time-dependent reaction–diffusion equations. Via the method of lines approach, we first perform the spatial discretization of the original problem by applying a mimetic finite difference scheme. The system of ordinary differential equations arising from that process is then integrated in time with a linearly implicit fractional step method. For that purpose, we locally decompose the discrete nonlinear diffusion operator using suitable Taylor expansions and a domain decomposition splitting technique. The totally discrete scheme considers implicit time integrations for the linear terms while explicitly handling the nonlinear ones. As a result, the original problem is reduced to the solution of several linear systems per time step which can be trivially decomposed into a set of uncoupled parallelizable linear subsystems. The convergence of the proposed methods is illustrated by numerical experiments.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 234, Issue 4, 15 June 2010, Pages 1117–1128
نویسندگان
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