On new sixth and seventh order iterative methods for solving non-linear equations using homotopy perturbation technique

被引：4

作者：

Thota, Srinivasarao ^{[1
]}

Shanmugasundaram, P. ^{[2
]}

机构：

[1] SR Univ, Sch Sci, Dept Math, Warangal 506371, Telangana, India

[2] Mizan Tepi Univ, Coll Nat & Computat Sci, Dept Math, Mizan Teferi, Ethiopia

来源：

BMC RESEARCH NOTES | 2022年 / 15卷 / 01期

基金：

英国科研创新办公室;

关键词：

Iterative methods; Nonlinear equations; Order of convergence; Homotopy perturbation technique;

D O I：

10.1186/s13104-022-06154-5

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Objectives This paper proposes three iterative methods of order three, six and seven respectively for solving non-linear equations using the modified homotopy perturbation technique coupled with system of equations. This paper also discusses the analysis of convergence of the proposed iterative methods. Results Several numerical examples are presented to illustrate and validation of the proposed methods. Implementation of the proposed methods in Maple is discussed with sample computations.

引用

页数：15

共 37 条

[1] A new modification of false position method based on homotopy analysis method [J].

Abbasbandy, Saeid ;

Liao Shi-jun .

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2008, 29 (02) :223-228

[2] On the order of convergence of Adomian method [J].

Babolian, E ;

Biazar, J .

APPLIED MATHEMATICS AND COMPUTATION, 2002, 130 (2-3) :383-387

[3] Iterative methods improving Newton's method by the decomposition method [J].

Chun, C .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 50 (10-12) :1559-1568

[4]

Gemechu T., 2020, International Journal Of Chemistry, Mathematics And Physics, V4, P18, DOI [10.22161/ijcmp.4.2.1, DOI 10.22161/IJCMP.4.2.1]

[5] A new iteration method for solving algebraic equations [J].

He, JH .

APPLIED MATHEMATICS AND COMPUTATION, 2003, 135 (01) :81-84

[6]

Hussain S., 2015, Int J Math Sci Appl, V5, P91

[7] Real-World Applications of a Newly Designed Root-Finding Algorithm and Its Polynomiography [J].

Naseem, Amir ;

Rehman, M. A. ;

Abdeljawad, Thabet .

IEEE ACCESS, 2021, 9 :160868-160877

[8] Three-step iterative methods for nonlinear equations [J].

Noor, Muhammad Aslam ;

Noor, Khalida Inayat .

APPLIED MATHEMATICS AND COMPUTATION, 2006, 183 (01) :322-327

[9] On iterative methods for nonlinear equations [J].

Noor, Muhammad Aslam ;

Noor, Khalida Inayat ;

Khan, Waseem Asghar ;

Ahmad, Faizan .

APPLIED MATHEMATICS AND COMPUTATION, 2006, 183 (01) :128-133

[10] Numerical comparison of iterative methods for solving nonlinear equations [J].

Noor, Muhammad Aslam ;

Ahmad, Faizan .

APPLIED MATHEMATICS AND COMPUTATION, 2006, 180 (01) :167-172

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