ITERATIVE SCHEMES FOR SOLVING NEW SYSTEM OF GENERAL EQUATIONS

被引：0

作者：

Noor, Muhammad Aslam ^{[1
]}

Noor, Khalida Inayat ^{[1
]}

机构：

[1] Department of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan

来源：

UPB Scientific Bulletin, Series A: Applied Mathematics and Physics | 2022年 / 84卷 / 01期

关键词：

Iterative methods;

D O I：

暂无

中图分类号：

O24 [计算数学];

学科分类号：

070102 ;

摘要：

In this paper, we consider a new system of general equations, which can be used to study the odd-order and nonsymmetric boundary value problems. It is shown that LaxMilgram Lemma and Reisz-Fréchet representation theorem can be obtained as special cases. We use the auxiliary principle technique to prove the existence of a solution to the general equations. This technique is also used to suggest some new iterative methods. The convergence analysis of the proposed methods is analyzed under some mild conditions. Ideas and techniques of this paper may stimulate further research. © 2022, Politechnica University of Bucharest. All rights reserved.

引用

页码：59 / 70

共 50 条

[41] A new third-order newton-type iterative method for solving nonlinear equations [J].

Ardelean, Gheorghe .

APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (18) :9856-9864

[42] A New Family of Optimal Fourth-Order Iterative Methods for Solving Nonlinear Equations With Applications [J].

Zein, Ali .

JOURNAL OF APPLIED MATHEMATICS, 2024, 2024

[43] An approach to accelerate iterative methods for solving nonlinear operator equations [J].

Nedzhibov, Gyurhan H. .

APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'11): PROCEEDINGS OF THE 37TH INTERNATIONAL CONFERENCE, 2011, 1410

[44] Iterative Methods with Self-Learning for Solving Nonlinear Equations [J].

Popkov, Yu. S. .

AUTOMATION AND REMOTE CONTROL, 2024, 85 (05) :472-476

[45] An efficient iterative method for solving Bratu-type equations [J].

Tomar, Saurabh ;

Pandey, R. K. .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 357 :71-84

[46] Two-point iterative methods for solving nonlinear equations [J].

Abu-Alshaikh, Ibrahim ;

Sahin, Ali .

APPLIED MATHEMATICS AND COMPUTATION, 2006, 182 (01) :871-878

[47] Fifth-order iterative methods for solving nonlinear equations [J].

Noor, Muhammad Aslam ;

Noor, Khalida Inayat .

APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (01) :406-410

[48] Control Design for Iterative Methods in Solving Linear Algebraic Equations [J].

Meng, Deyuan ;

Wu, Yuxin .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 67 (10) :5039-5054

[49] A Fifth-Order Iterative Method for Solving Nonlinear Equations [J].

Rafiullah, M. .

NUMERICAL ANALYSIS AND APPLICATIONS, 2011, 4 (03) :239-243

[50] Improved Iterative Methods for Solving High Order Polynomial Equations [J].

Gong, Dianxuan ;

Wang, Ling ;

Wei, Chuanan ;

Peng, Yamian .

SMART MATERIALS AND INTELLIGENT SYSTEMS, PTS 1 AND 2, 2011, 143-144 :1122-+

← 1 2 3 4 5 →