A mollification based operator splitting method for convection diffusion equations

被引：6
|
作者：
Acosta, Carlos D. [2 ]
Mejia, Carlos E. [1 ]
机构：
[1] Univ Nacl Colombia, Dept Math, Medellin, Colombia
[2] Univ Nacl Colombia, Dept Math & Stat, Manizales, Colombia
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 04期
关键词：
Convection-diffusion; Discrete mollification; Operator splitting; Explicit schemes; HYPERBOLIC CONSERVATION-LAWS; FLOCCULATED SUSPENSIONS; DISCRETE MOLLIFICATION;
D O I：
10.1016/j.camwa.2009.11.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main goal of this paper is to show that discrete mollification is a suitable ingredient in operator splitting methods for the numerical solution of nonlinear convection-diffusion equations. In order to achieve this goal, we substitute the second step of the operator splitting method of Karlsen and Risebro (1997) [1] for a mollification step and prove that the convergence features are fairly well preserved. We end the paper with illustrative numerical experiments. (C) 2009 Elsevier Ltd. All rights reserved.
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页码：1397 / 1408
页数：12
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