Numerical Solution of Poisson's Equation Using a Combination of Logarithmic and Multiquadric Radial Basis Function Networks

被引：0

作者：

Mazarei, Mohammad Mehdi ^{[2
]}

Aminataei, Azim ^{[1
]}

机构：

[1] KN Toosi Univ Technol, Dept Math, Tehran, Iran

[2] Islamic Azad Univ, Bushehr Branch, Fac Engn, Bushehr, Iran

来源：

JOURNAL OF APPLIED MATHEMATICS | 2012年

关键词：

PARTIAL-DIFFERENTIAL-EQUATIONS; APPROXIMATION SCHEME;

D O I：

10.1155/2012/286391

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents numerical solution of elliptic partial differential equations (Poisson's equation) using a combination of logarithmic and multiquadric radial basis function networks. This method uses a special combination between logarithmic and multiquadric radial basis functions with a parameter r. Further, the condition number which arises in the process is discussed, and a comparison is made between them with our earlier studies and previously known ones. It is shown that the system is stable.

引用

页数：13

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