CONVERGENCE OF A SEMI-ANALYTICAL METHOD ON THE FUZZY LINEAR SYSTEMS

被引：0

作者：

Ghanbari, M. ^{[1
]}

Nuraei, R. ^{[2
]}

机构：

[1] Islamic Azad Univ, Aliabad Katoul Branch, Dept Math, Aliabad Katoul, Iran

[2] Islamic Azad Univ, South Tehran Branch, Dept Math, Tehran, Iran

来源：

IRANIAN JOURNAL OF FUZZY SYSTEMS | 2014年 / 11卷 / 04期

关键词：

Fuzzy linear system; Homotopy analysis method; Convergence-control parameter; Numerical algorithms; HOMOTOPY ANALYSIS METHOD; PERTURBATION METHOD; EQUATIONS; FLOW;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we apply the homotopy analysis method (HAM) for solving fuzzy linear systems and present the necessary and sufficient conditions for the convergence of series solution obtained via the HAM. Also, we present a new criterion for choosing a proper value of convergence-control parameter h when the HAM is applied to linear system of equations. Comparisons are made between the results of the HAM and several well-known numerical algorithms such as Jacobi method (JM), Gauss-Seidel method (GSM), successive over relaxation method (SOR), Adomian decomposition method (ADM) and homotopy perturbation method (HPM).

引用

页码：45 / 60

页数：16

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