A BOUNDARY ELEMENT APPROACH FOR PARABOLIC DIFFERENTIAL-EQUATIONS USING A CLASS OF PARTICULAR SOLUTIONS

被引:24
作者
INGBER, MS [1 ]
PHANTHIEN, N [1 ]
机构
[1] UNIV SYDNEY,DEPT MECH ENGN,SYDNEY,NSW 2006,AUSTRALIA
关键词
BOUNDARY ELEMENT METHOD; PARTICULAR SOLUTION; DISCRETIZATION IN TIME; PARABOLIC DIFFERENTIAL EQUATIONS;
D O I
10.1016/0307-904X(92)90063-9
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Two boundary element methods are developed for solving a class of parabolic differential equations. The methods avoid performing time-consuming domain integrations by approximating a "generalized forcing function" in the interior of the domain with the use of radial basis functions. An approximate particular solution can then be determined, and the original problem can be transformed into a homogeneous problem. Numerical examples demonstrate some advantages and disadvantages of the two methods.
引用
收藏
页码:124 / 132
页数:9
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