Dual reciprocity boundary element analysis of time-independent Burger's equation

被引：21

作者：

Chino, E ^{[1
]}

Tosaka, N ^{[1
]}

机构：

[1] Nihon Univ, Coll Ind Technol, Dept Engn Math, Narashino, Chiba 275, Japan

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 1998年 / 21卷 / 03期

关键词：

boundary element method; Burger's equation; steady-state; dual reciprocity method; nonlinear problem; time-independent;

D O I：

10.1016/S0955-7997(98)00003-4

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we discuss an applicability of the dual reciprocity method (DRM) to the boundary element analysis of Burger's equation. Burger's equation is recast into a nonlinear integral equation by use of the fundamental solution for the one-dimensional Laplace operator. The domain integral contained in the integral equation derived is converted to a boundary integral using DRM. The existing problems in applying DRM to nonlinear problems are discussed through numerical simulations. Numerical examples of steady-state problems are shown in order to demonstrate the adaptability of DRM. (C) 1998 Published by Elsevier Science Ltd. All rights reserved.

引用

页码：261 / 270

页数：10

共 24 条

[1]

Brebbia CA., 1980, Boundary element techniques in engineering

[2] SOLUTION OF BURGERS-EQUATION WITH A LARGE REYNOLDS-NUMBER [J].

CALDWELL, J ;

SMITH, P .

APPLIED MATHEMATICAL MODELLING, 1982, 6 (05) :381-385

[3]

CHINO E, 1997, P 7 BEM TECHN C, P69

[4] ON A QUASI-LINEAR PARABOLIC EQUATION OCCURRING IN AERODYNAMICS [J].

COLE, JD .

QUARTERLY OF APPLIED MATHEMATICS, 1951, 9 (03) :225-236

[5]

DANSON DJ, 1981, BOUNDARY ELEMENT MET

[6]

Golberg M. A., 1995, Boundary Elements Communications, V6, P99

[7] THE PARTIAL DIFFERENTIAL EQUATION UT+UUX=MU-XX [J].

HOPF, E .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1950, 3 (03) :201-230

[8]

KAKUDA K, 1987, P 4 S BOUND EL METH, P167

[9]

Nardini D., 1982, BOUNDARY ELEMENT MET, P312

[10]

NOWAK AJ, 1988, 10TH P BEM C, V2, P233

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