THE GENERALIZED BOUNDARY ELEMENT APPROACH TO BURGERS-EQUATION

被引：66
|
作者：
KAKUDA, K
TOSAKA, N
机构：
[1] Department of Mathematical Engineering, College of Industrial Technology, Nihon University, Chiba
来源：
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 1990年 / 29卷 / 02期
关键词：
D O I：
10.1002/nme.1620290203
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The generalized boundary element method is presented for the numerical solution of Burgers' equation. The new method is based on the set of boundary integral equations derived for each subdomain by using the fundamental solution for the linearized differential operator of the equation. The resulting system of quasi‐non‐linear equations is solved implicitly with use of a simple iterative procedure. The adaptability and the accuracy of the proposed method are demonstrated by three examples and a comparison of the numerical results with the exact solution or other existing solutions is shown for the first example. Copyright © 1990 John Wiley & Sons, Ltd
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页码：245 / 261
页数：17
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