Decomposition Technique and a Family of Efficient Schemes for Nonlinear Equations

Farooq Ahmed Shah, Maslina Darus, Imran Faisal, Muhammad Arsalan Shafiq

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Various problems of pure and applied sciences can be studied in the unified framework of nonlinear equations. In this paper, a new family of iterative methods for solving nonlinear equations is developed by using a new decomposition technique. The convergence of the new methods is proven. For the implementation and performance of the new methods, some examples are solved and the results are compared with some existing methods.

Original languageEnglish
Article number3794357
JournalDiscrete Dynamics in Nature and Society
Volume2017
DOIs
Publication statusPublished - 2017

Fingerprint

Decomposition Techniques
Nonlinear equations
Nonlinear Equations
Decomposition
Iterative methods
Iteration
Family

ASJC Scopus subject areas

  • Modelling and Simulation

Cite this

Decomposition Technique and a Family of Efficient Schemes for Nonlinear Equations. / Shah, Farooq Ahmed; Darus, Maslina; Faisal, Imran; Shafiq, Muhammad Arsalan.

In: Discrete Dynamics in Nature and Society, Vol. 2017, 3794357, 2017.

Research output: Contribution to journalArticle

@article{ad6d7ede2acc4a3086145c2eaeed0fb9,
title = "Decomposition Technique and a Family of Efficient Schemes for Nonlinear Equations",
abstract = "Various problems of pure and applied sciences can be studied in the unified framework of nonlinear equations. In this paper, a new family of iterative methods for solving nonlinear equations is developed by using a new decomposition technique. The convergence of the new methods is proven. For the implementation and performance of the new methods, some examples are solved and the results are compared with some existing methods.",
author = "Shah, {Farooq Ahmed} and Maslina Darus and Imran Faisal and Shafiq, {Muhammad Arsalan}",
year = "2017",
doi = "10.1155/2017/3794357",
language = "English",
volume = "2017",
journal = "Discrete Dynamics in Nature and Society",
issn = "1026-0226",
publisher = "Hindawi Publishing Corporation",

}

TY - JOUR

T1 - Decomposition Technique and a Family of Efficient Schemes for Nonlinear Equations

AU - Shah, Farooq Ahmed

AU - Darus, Maslina

AU - Faisal, Imran

AU - Shafiq, Muhammad Arsalan

PY - 2017

Y1 - 2017

N2 - Various problems of pure and applied sciences can be studied in the unified framework of nonlinear equations. In this paper, a new family of iterative methods for solving nonlinear equations is developed by using a new decomposition technique. The convergence of the new methods is proven. For the implementation and performance of the new methods, some examples are solved and the results are compared with some existing methods.

AB - Various problems of pure and applied sciences can be studied in the unified framework of nonlinear equations. In this paper, a new family of iterative methods for solving nonlinear equations is developed by using a new decomposition technique. The convergence of the new methods is proven. For the implementation and performance of the new methods, some examples are solved and the results are compared with some existing methods.

UR - http://www.scopus.com/inward/record.url?scp=85031899092&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85031899092&partnerID=8YFLogxK

U2 - 10.1155/2017/3794357

DO - 10.1155/2017/3794357

M3 - Article

VL - 2017

JO - Discrete Dynamics in Nature and Society

JF - Discrete Dynamics in Nature and Society

SN - 1026-0226

M1 - 3794357

ER -