Efficient method for solving a system of nonlinear equations

Muhammad Waseem, Muhammad Aslam Noor and Khalida Inayat Noor

Applied Mathematics and Computation, 2016, vol. 275, issue C, 134-146

Abstract: Various problems of pure and applied sciences can be studied in the unified frame work of the system of nonlinear equations. By using decomposition technique in conjunction with the coupled system of equations, we develop new iterative method for solving a system of nonlinear equations, which has better efficiency index. We prove the fifth-order convergence of the proposed method. We provide the comparison of efficiency index with some other well-known methods. For the implementation and performance of the new method, we solve the kinematic synthesis problem for steering, Chandrasekhar integral equation and combustion problem for a temperature of 3000 °C and compare the results with some existing methods.

Keywords: Chandrasekhar integral equation; Decomposition technique; Combustion problem; Iterative methods; Steering problem; Efficiency index (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300315015635
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:275:y:2016:i:c:p:134-146

DOI: 10.1016/j.amc.2015.11.061

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().