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.

引用

页码：1397 / 1408

页数：12

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