Some New Iterative Methods for Nonlinear Equations

被引：31

作者：

Noor, Muhammad Aslam ^{[1
,2
]}

Noor, Khalida Inayat ^{[1
]}

Al-Said, Eisa ^{[2
]}

Waseem, Muhammad ^{[1
]}

机构：

[1] COMSATS Inst Informat Technol, Dept Math, Islamabad 44000, Pakistan

[2] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2010年 / 2010卷

关键词：

NEWTONS METHOD; SCHEMES; FAMILY;

D O I：

10.1155/2010/198943

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We suggest and analyze some new iterative methods for solving the nonlinear equations f(x) = 0 using the decomposition technique coupled with the system of equations. We prove that new methods have convergence of fourth order. Several numerical examples are given to illustrate the efficiency and performance of the new methods. Comparison with other similar methods is given.

引用

页数：12

共 50 条

[31] On some families of multi-point iterative methods for solving nonlinear equations
Nedzhibov, Gyurhan H.
Hasanov, Vejdi I.
Petkov, Milko G.
NUMERICAL ALGORITHMS, 2006, 42 (02) : 127 - 136
[32] Some third-order families of iterative methods for solving nonlinear equations
Chun, Changbum
APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (01) : 924 - 933
[33] Some Iterative Methods Free from Derivatives and Their Basins of Attraction for Nonlinear Equations
Soleimani, Farahnaz
Soleymani, Fazlollah
Shateyi, Stanford
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2013, 2013
[34] Note on improvements of order and efficiency in some iterative methods for solving nonlinear equations
Grau-Sanchez, Miguel
Diaz-Barrero, Jose L.
APPLIED MATHEMATICS LETTERS, 2014, 33 : 18 - 22
[35] Some efficient derivative-free iterative methods for solving nonlinear equations
Shah, Farooq Ahmed (farooqhamdani@gmail.com), 1600, National Institute of Optoelectronics (10): : 3 - 4
[36] On the computational efficiency index and some iterative methods for solving systems of nonlinear equations
Grau-Sanchez, Miquel
Grau, Angela
Noguera, Miquel
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 236 (06) : 1259 - 1266
[37] On Some Iterative Methods with Memory and High Efficiency Index for Solving Nonlinear Equations
Eftekhari, Tahereh
INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 2014
[38] Some iterative methods for solving nonlinear equations using homotopy perturbation method
Noor, Muhammad Aslam
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2010, 87 (01) : 141 - 149
[39] NEW ITERATIVE METHODS BASED ON SPLINE FUNCTIONS FOR SOLVING NONLINEAR EQUATIONS
Taghvafard, Hadi
BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 3 (04): : 31 - 37
[40] New eighth-order iterative methods for solving nonlinear equations
Wang, Xia
Liu, Liping
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 234 (05) : 1611 - 1620

← 1 2 3 4 5 →