NUMERICAL METHOD TO A CLASS OF BOUNDARY VALUE PROBLEMS

被引：1

作者：

Qiu, Yu-Yang ^{[1
]}

机构：

[1] Zhejiang Gongshang Univ, Coll Stat & Math, Hangzhou, Zhejiang, Peoples R China

来源：

THERMAL SCIENCE | 2018年 / 22卷 / 04期

基金：

中国国家自然科学基金;

关键词：

boundary value problems; the least square problem; Toeplitz constraint; conjugate gradient least square; matrix iteration; VARIATIONAL ITERATION METHOD; LEAST-SQUARES PROBLEMS; EQUATIONS; SYSTEMS;

D O I：

10.2298/TSCI1804877Q

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

A class of boundary value problems can be transformed uniformly to a least square problem with Toeplitz constraint. Conjugate gradient least square, a matrix iteration method, is adopted to solve this problem, and the solution process is elucidated step by step so that the example can be used as a paradigm for other applications.

引用

页码：1877 / 1883

页数：7

共 15 条

[1] Toward a modified variational iteration method [J].

Abassy, Tamer A. ;

El-Tawil, Magdy A. ;

El Zoheiry, H. .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 207 (01) :137-147

[2] The inverses of some circulant matrices [J].

Carmona, A. ;

Encinas, A. M. ;

Gago, S. ;

Jimenez, M. J. ;

Mitjana, M. .

APPLIED MATHEMATICS AND COMPUTATION, 2015, 270 :785-793

[3]

Chan R.H., 2007, INTRO ITERATIVE TOEP

[4] A LOOK-AHEAD LEVINSON ALGORITHM FOR INDEFINITE TOEPLITZ-SYSTEMS [J].

CHAN, TF ;

HANSEN, PC .

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1992, 13 (02) :490-506

[5] LARGE LEAST-SQUARES PROBLEMS INVOLVING KRONECKER PRODUCTS [J].

FAUSETT, DW ;

FULTON, CT .

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1994, 15 (01) :219-227

[6]

Golub G. H, 1996, SPECIAL LINEAR SYSTE

[7] Variational iteration method - a kind of non-linear analytical technique: Some examples [J].

He, JH .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1999, 34 (04) :699-708

[8] EFFECT OF TEMPERATURE ON SURFACE TENSION OF A BUBBLE AND HIERARCHICAL RUPTURED BUBBLES FOR NANOFIBER FABRICATION [J].

He, Ji-Huan .

THERMAL SCIENCE, 2012, 16 (01) :327-330

[9] METHODS OF CONJUGATE GRADIENTS FOR SOLVING LINEAR SYSTEMS [J].

HESTENES, MR ;

STIEFEL, E .

JOURNAL OF RESEARCH OF THE NATIONAL BUREAU OF STANDARDS, 1952, 49 (06) :409-436

[10] DISPLACEMENT STRUCTURE - THEORY AND APPLICATIONS [J].

KAILATH, T ;

SAYED, AH .

SIAM REVIEW, 1995, 37 (03) :297-386

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