部分Broyden方法及其对离散fpT方程组的应用

计算物理 ›› 1990, Vol. 7 ›› Issue (2): 228-234.

部分Broyden方法及其对离散fpT方程组的应用

王元璋

北京应用物理与计算数学研究所 100088

收稿日期:1987-10-04 出版日期:1990-06-25 发布日期:1990-06-25

A PARTIAL BROYDEN METHOD AND ITS APPLICATION TO THE DISCRETIZED fpT EQUATIONS

Wang Yuanzhang

Institute of Applied Physics and Computatioal Mathematices, P. O. Box 8009, Beijing, 100088

Received:1987-10-04 Online:1990-06-25 Published:1990-06-25

摘要/Abstract

摘要： 本文对一类非线性方程组#br#F₁x₁,x₂=0#br#F₂x₁,x₂=0#br#建立部分Broyden方法。其基本思想是由F₁=0确定解分量x₁与x₂之间的关系,再对F₂=0应用Broyden公式,形成一个迭代过程。然后叙述部分Broyden方法对离散fpT方程组的应用,并给出数值比较结果。

关键词: 非线性方程组, 部分Broyden方法, 离散fpT方程组

Abstract: In this paper, for a class of nonlinear system of equations #br#F₁x₁,x₂=0#br#F₂x₁,x₂=0#br# we formulate a partial Broyden method. The basic idea is that the relation of x₁ to x₂ is determined by the first subsystem of equations F₁=0, then the Broyden method is applied to the second one F₂=0, thus forming a iterative procedure.The application of partical Broyden method to discretized fpT equations is described and numerical results is given.

Key words: nonlinear equations, partial Broyden method, discrctized fpT equations

王元璋. 部分Broyden方法及其对离散fpT方程组的应用[J]. 计算物理, 1990, 7(2): 228-234.

Wang Yuanzhang. A PARTIAL BROYDEN METHOD AND ITS APPLICATION TO THE DISCRETIZED fpT EQUATIONS[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1990, 7(2): 228-234.

[1]	安恒斌, 莫则尧, 徐小文. 二维三温热传导方程求解中的非线性迭代初值选取[J]. 计算物理, 2007, 24(2): 127-133.
[2]	韩波, 刘家琦. 离散牛顿正则化方法及应用[J]. 计算物理, 1993, 10(3): 379-384.