THE EFFICIENCY OF TRANSMISSION-LINE MATRIX MODELING - A RIGOROUS VIEWPOINT

被引：19

作者：

ENDERS, P ^{[1
]}

DECOGAN, D ^{[1
]}

机构：

[1] INST NONLINEAR OPT & SHORT TERM SPECT,O-1199 BERLIN,GERMANY

来源：

INTERNATIONAL JOURNAL OF NUMERICAL MODELLING-ELECTRONIC NETWORKS DEVICES AND FIELDS | 1993年 / 6卷 / 02期

关键词：

D O I：

10.1002/jnm.1660060204

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The difference equations of the scalar linear transmission-line matrix (TLM) routine as introduced by Johns for numerically solving the diffusion equation are shown to be isomorphic to Goldstein's correlated random walk model of diffusion. For the infinite homogeneous bar their exact solution is derived algebraically and given in the form of Jacobi polynomials. This puts the TLM algorithm on a sounder mathematical and physical basis. The accuracy in solving the diffusion equation is investigated in general form and thus its astonishing efficiency explained. Several other basic questions of this numerical technique are also discussed.

引用

页码：109 / 126

页数：18

共 33 条

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