New iterative technique for solving nonlinear equations

Muhammad Aslam Noor, Muhammad Waseem, Khalida Inayat Noor and Muhammad Aamir Ali

Applied Mathematics and Computation, 2015, vol. 265, issue C, 1115-1125

Abstract: Various problems of pure and applied sciences can be studied in the unified frame work of the 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 proposed methods is proved. It is shown that the new family contains several well-known iterative methods as special case. For the implementation and performance of the new methods, a nonlinear equation arising in the population model and another one arising in the motion of a particle on inclined plane is solved.

Keywords: Population equation; Decomposition technique; Convergence analysis; Iterative methods; Efficiency index (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:265:y:2015:i:c:p:1115-1125

DOI: 10.1016/j.amc.2015.05.129

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