NUMERICAL-SOLUTION OF BURGER EQUATION

被引:71
作者
MITTAL, RC
SINGHAL, P
机构
[1] Department of Mathematics, University of Roorkee, Roorkee, Uttar Pradesh
来源
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING | 1993年 / 9卷 / 05期
关键词
D O I
10.1002/cnm.1640090505
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In the present paper numerical solutions of the one-dimensional Burger equation are obtained. The technique of finitely reproducing non-linearities introduced by Bazley is used. This technique when applied to Burger's equation gives a method where a system of non-linear ordinary differential equations is to be solved. The present method produces very accurate results in comparison to finite-difference of finite-element methods.
引用
收藏
页码:397 / 406
页数:10
相关论文
共 14 条
[1]  
AMES WF, 1965, NONLINEAR PARTIAL DI
[2]   APPROXIMATION OF OPERATORS WITH REPRODUCING NONLINEARITIES [J].
BAZLEY, NW .
MANUSCRIPTA MATHEMATICA, 1976, 18 (04) :353-369
[3]   SOLUTION OF BURGERS-EQUATION WITH A LARGE REYNOLDS-NUMBER [J].
CALDWELL, J ;
SMITH, P .
APPLIED MATHEMATICAL MODELLING, 1982, 6 (05) :381-385
[4]   A FINITE-ELEMENT APPROACH TO BURGERS-EQUATION [J].
CALDWELL, J ;
WANLESS, P ;
COOK, AE .
APPLIED MATHEMATICAL MODELLING, 1981, 5 (03) :189-193
[5]  
Caldwell J., 1984, NUMERICAL METHODS NO, V2, P700
[6]  
CAMPOS CM, 1985, Z ANGEW MATH PHYS, V36, P286
[7]   ON A QUASI-LINEAR PARABOLIC EQUATION OCCURRING IN AERODYNAMICS [J].
COLE, JD .
QUARTERLY OF APPLIED MATHEMATICS, 1951, 9 (03) :225-236
[8]   THE GROUP EXPLICIT METHOD FOR THE SOLUTION OF BURGER EQUATION [J].
EVANS, DJ ;
ABDULLAH, AR .
COMPUTING, 1984, 32 (03) :239-253
[9]   THE PARTIAL DIFFERENTIAL EQUATION UT+UUX=MU-XX [J].
HOPF, E .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1950, 3 (03) :201-230
[10]   THE GENERALIZED BOUNDARY ELEMENT APPROACH TO BURGERS-EQUATION [J].
KAKUDA, K ;
TOSAKA, N .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1990, 29 (02) :245-261