A Fourth-Order Compact Finite Difference Scheme for Solving an N-Carrier System with Neumann Boundary Conditions

被引：15

作者：

Dai, Weizhong ^{[1
]}

Tzou, Da Yu ^{[2
]}

机构：

[1] Louisiana Tech Univ, Coll Engn & Sci, Dept Math & Stat, Ruston, LA 71272 USA

[2] Univ Missouri, Dept Mech & Aerosp Engn, Columbia, MO 65211 USA

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2010年 / 26卷 / 02期

关键词：

compact finite difference scheme; energy exchange; N-carrier system; Neumann boundary condition; matrix analysis; stability;

D O I：

10.1002/num.20427

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, we develop a fourth-order compact finite difference scheme for solving a model of energy exchanges in a generalized N-carrier system with heat sources and Neumann boundary conditions, which extends the concept of the well-known parabolic two-step model for microheat transfer. By using the matrix analysis, the compact finite difference numerical scheme is shown to be unconditionally stable. The accuracy of the solution obtained by the scheme is tested by a numerical example. (C) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 26: 274-289, 2010

引用

页码：274 / 289

页数：16

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