The use of quadratures for solving convective and highly stiff transport problems

被引：1

作者：

Salcedo, Javier ^{[2
]}

Salcedo, Bruno ^{[3
]}

Sanchez-Bernabe, F. J. ^{[1
]}

机构：

[1] Univ Autonoma Metropolitana Iztapalapa, Col Vicentina 09340, DF, Mexico

[2] Inst Politecn Nacl, ESIME, San Francisco Culhuacan 04430, DF, Mexico

[3] Inst Tecnol Autonomo Mexico, Progreso Tizapan 01080, DF, Mexico

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 61卷 / 03期

关键词：

Initial value problem; Time-stepping scheme; Operator splitting; Strang's method; Convection-diffusion; Stiff problem; SCHEMES;

D O I：

10.1016/j.camwa.2010.12.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we introduce a method for the numerical solutions of initial value problems, that combines finite differences with Simpson's rule. The effectiveness of the method is proved by solving, in one spatial dimension, a stiff and convection-dominated transport problem. To solve the same problem in two spatial dimensions, the proposed method was used successfully in combination with Strang's operator decomposition method. (C) 2011 Published by Elsevier Ltd

引用

页码：586 / 591

页数：6

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