GENERATION OF HIGHER-ORDER FUNDAMENTAL-SOLUTIONS TO THE 2-DIMENSIONAL MODIFIED HELMHOLTZ-EQUATION

被引：10

作者：

ITAGAKI, M

BREBBIA, CA

机构：

[1] Japan Atomic Energy Research Institute, Tokai, Ibaraki, 319-11

[2] Wessex Institute of Technology/University of Portsmouth, Ashurst Lodge, Ashurst

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 1993年 / 11卷 / 01期

关键词：

boundary element method; higher order fundamental solution; modified Bessel function; modified Helmholtz equation; multiple reciprocity method; neutron diffusion equation; Wronskian relationship;

D O I：

10.1016/0955-7997(93)90082-V

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The higher order fundamental solutions to the two-dimensional (2-D) modified Helmholtz equation have been derived. The Lth order fundamental solution has the form phi(i)*(L) = A(L)(kr)L K(L)(kr), which satisfies the equation [GRAPHICS] and the relationship of the coefficients A(L) is given as A(L) = A(L-1)/(2Lk2) with A0 = 1/(2pi). These solutions can be used for applying the multiple reciprocity boundary element method to the 2-D modified Helmholtz problems. The derivation procedure shown in the present paper can also be applied to obtaining higher order fundamental solutions to other engineering equations.

引用

页码：87 / 90

页数：4